dr hab. prof.UR Jacek Dziok
- Jednostka:
Instytut Matematyki - Budynek: A0
- Pokój: 394 B2
- Nr telefonu: 178518624
- Email: [email protected]
- ORCID: 0000-0003-1482-1080
- Konsultacje: czwartek 11.15-12.45
Informacje
Zainteresowania badawcze
Badania naukowe obejmują swoim zakresem geometryczną teorię zespolonych funkcji analitycznych i zespolonych funkcji harmonicznych. Są one ukierunkowane na:
- zastosowaniach teorii podporządkowań różniczkowych, teorii splotów Ruscheweyha oraz teorii opartej na funkcjach pregwiaździstych w klasach funkcji definiowanych przez operatory liniowe,
- zastosowaniach teorii punktów ekstremalnych do rozwiązania klasycznych problemów ekstremalnych w klasach zespolonych funkcji analitycznych o stałym bądź zmiennym argumencie współczynników z rozwinięcia w szereg Maclaurina,
- badaniu własności klas funkcji o skorelowanych współczynnikach,
- problemie Fekete-Szegő w klasach funkcji analitycznych.
Publikacje
- Classes of meromorphic harmonic functions defined by Sălăgean operator. - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, Vol. 116, iss. 4
- On Janowski starlike and convex meromorphic harmonic functions. - Boletín de la Sociedad Matemática Mexicana, 2022, Vol. 28, iss. 2
- [współaut.] Khan Q, Raza M, Arif M Sufficient conditions for p-valent functions. - Mathematica Slovaca, 2021, vol. 71, iss. 5, p. 1089-1121
- Classes of Harmonic Functions Defined By the Extended SăLăgean Operator. - Ukrainian Mathematical Journal, 2021, Vol. 73, no. 1, p. 34-49
- [współaut.] Cho N Harmonic starlike functions with respect to symmetric points. - Axioms, 2020, Vol. 9, iss. 1
- Classes of harmonic functions defined by convolution. - Boletín de la Sociedad Matemática Mexicana, 2020, Vol. 26, s. 399-416
- Classes of meromorphic harmonic functions and duality principle. - Analysis and Mathematical Physics, 2020, Vol. 10, iss. 4
- Subordination for meromorphic harmonic functions. - Journal of Mathematical Inequalities, 2020, Vol. 14, nr 3, s. 939-950
- [współaut.] El-Deeb S, Bulboacă T Pascal distribution series connected with certain subclasses of univalent functions. - Kyungpook Mathematical Journal, 2019, vol. 59, iss. 2, s. 301-314
- [współaut.] Yalcib S, Altinkaya S Subclasses of harmonic univalent functions associated with generalized Ruscheweyh operator. - Publications de L'institut Mathématique - Beograd, 2019, vol. 106, iss. 120, s. 19-28
- [współaut.] Zayed H Pre-Schwarzian norm for linear operators of uniformly convex functions of order α and type β. - Studia Scientiarum Mathematicarum Hungarica, 2019, Vol. 56, iss. 3, p. 297-308
- Classes of harmonic functions associated with Ruscheweyh derivatives. - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, vol. 113, iss. 2, p. 1315-1329
- Harmonic Function with Correlated Coefficients. - Acta Mathematica Scientia, 2019, vol. 39, iss. 6, p. 1661-1673
- Harmonic functions with missing coefficients. - Hacettepe Journal of Mathematics and Statistics, 2019, vol. 48, iss. 6, p. 1778-1791
- Ruscheweyh-Type harmonic functions with correlated coefficients. - FILOMAT, 2019, Vol. 33, iss. 12, s. 3669-3682
- [współaut.] Darus M, Sokół J Coefficients inequalities for classes of meromorphic functions. - Turkish Journal of Mathematics, 2018, vol. 42, nr 5, s. 2506-2512
- [współaut.] Raina R, Sokół J Applications of differential subordinations for norm estimates of an integral operator. - Proceedings of the Royal Society of Edinburgh Section A - Mathematics, 2018, Vol. 148, iss. 2, s. 281-291
- [współaut.] Kasthuri M, Vijaya K, Murugusundaramoorthy G Coefficients inequalities of kth root transformation for universally prestarlike functions. - Bulletin de la Société des Sciences et des Lettres de Łódź. Serié: Recherches sur les déformations, 2017, vol. 67, no. 2, s. 83-90
- [współaut.] Noor K Classes of analytic functions related to a combination of two convex functions. - Journal of Mathematical Inequalities, 2017, Vol. 11, nr 2, s. 413-427
- [współaut.] Jurasińska R, Szpila A Classes of harmonic functions W: Current Research in Mathematical and Computer Sciences / editor of the volume Adam Lecko. Olsztyn, Uniwersytet Warmińsko-Mazurski w Olsztynie: 2017, S. 55-68
- [współaut.] Arif M, Mahmood S, Sokół J New subclass of analytic functions in conical domain associated with a linear operator. - Acta Mathematica Scientia, 2016, vol. 36, iss. 3, p. 704-716
- [współaut.] Darus M, Sokół J, Bulboacă T Generalizations of starlike harmonic functions. - Comptes Rendus Mathematique, 2016, vol. 354, iss. 1, p. 13-18
- [współaut.] Jahangiri J, Silverman H Harmonic functions with varying coefficients. - Journal of Inequalities and Applications, 2016, Vol. 2016, art. no. 139
- Inclusion properties for classes of analytic functions associated with conic domains. - Mathematica Slovaca, 2016, vol. 66, iss. 1, p. 147-158
- [współaut.] Arif M, Raza M On some variations of Janowski functions. - Bulletin de la Societe des Sciences et des Letters de Łódź. Serie: Recherches sur les Deformations, 2015, Vol. 65, nr 2, s. 61-69
- [współaut.] Arif M, Raza M, Sokół J On products of multivalent close-to-star functions. - Journal of Inequalities and Applications, 2015, 2015, art. 5, 14 p.
- [współaut.] Murugusundaramoorthy G, Janani T Majorization problems for classes of analytic functions. - Journal of Mathematics and Applications, 2015, Nr 38, s. 49-57
- [współaut.] Raina R, Sokół J Application of Chebyshev polynomials to classes of analytic functions. - Comptes Rendus Mathematique, 2015, Vol. 353, iss. 5, s. 433-438
- [współaut.] Sokół J, Stankiewicz J On a class of meromorphic functions defined by the convolution. - Journal of Mathematics and Applications, 2015, Nr 38, s. 59-70
- Classes of harmonic functions defined by subordination. - Abstract and Applied Analysis, 2015, Article ID 756928, 9 s.
- Generalizations of multivalent Mocanu functions. - Applied Mathematics and Computation, 2015, Vol. 269, s. 965-971
- On Janowski harmonic functions. - Journal of Applied Analysis, 2015, Vol. 21, iss. 2, s. 99-107
- [współaut.] Aouf M, El-Ashwah R, Stankiewicz J Partial sums of a certain harmonic univalent meromorphic functions. - Journal of Mathematics and Applications, 2014, Nr 37, s. 5-12
- Generalizations of strongly starlike functions. - Taiwanese Journal of Mathematics, 2014, Vol. 18, iss. 1, s. 39-51
- Meromorphic functions with bounded boundary rotation. - Acta Mathematica Scientia, 2014, vol. 34, iss. 2, p. 466-472
- [współaut.] Raina R, Sokół J Differential subordinations and α-convex functions. - Acta Mathematica Scientia, 2013, vol. 33, iss. 3, p. 609-620
- [współaut.] Raina R, Sokół J On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers. - Mathematical and Computer Modelling, 2013, Vol. 57, iss. 5-6, p. 1203-1211
- [współaut.] Sokół J, Sarkar N, Goswami P Subordination for multivalent analytic functions associated with Wright generalized hypergeometric function. - Tamkang Journal of Mathematics, 2013, vol. 44, no. 1, p. 61-71
- A general solution of the Fekete-Szegö problem. - Boundary Value Problems, 2013, Vol. 2013, Article number 98
- Applications of multivalent prestarlike functions. - Applied Mathematics and Computation, 2013, vol. 221, p. 230-238
- Characterizations of analytic functions associated with functions of bounded variation. - Annales Polonici Mathematici, 2013, Vol. 109, iss. 2, s. 199-207
- Classes of functions associated with bounded Mocanu variation. - Journal of Inequalities and Applications, 2013, Vol. 2013, Article number 349
- Classes of multivalent analytic functions with two fixed points. - Fixed Point Theory and Applications, 2013, Vol. 2013, Article Number: 86
- Generalized problem of starlikeness for products of close-to-star functions. - Annales Polonici Mathematici, 2013, vol. 107, nr 2, s. 109-121
- Properties of the convolution with prestarlike functions. - Acta Mathematica Scientia, 2013, Vol. 33, iss. 6, s. 1685-1694
- [współaut.] Murugusundaramoorthy G, Sokół J On certain class of meromorphic functions with positive coefficients. - Acta Mathematica Scientia, 2012, Vol. 32, Iss. 4, s. 1376-1390
- Classes of meromorphic functions associated with conic regions. - Acta Mathematica Scientia, 2012, Vol. 32, iss. 2, s. 765-774
- Classes of meromorphic multivalent functions with Montel's normalization. - Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 2012, Vol. 66, no. 2, s. 31-46
- [współaut.] Aouf M, Sokół J On a subclass of strongly starlike functions. - Applied Mathematics Letters, 2011, vol. 24, iss. 1, p. 27-32
- [współaut.] Jurasińska R On classes of functions with varying argument of coefficients. - Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, 2011, T. 27, nr 2, s. 197-209
- [współaut.] Raina R, Sokół J Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers. - Computer & Mathematics with Applications, 2011, Vol. 61, nr 9, s. 2605-2613
- [współaut.] Raina R, Sokół J Certain results on subordinations associated with a differintegral operator. - Mathematica Scandinavica, 2011, Vol. 109, Iss. 2, s. 253-268
- [współaut.] Raina R, Sokół J On α-convex functions related to shell-like functions connected with Fibonacci numbers. - Applied Mathematics and Computation, 2011, Vol. 218, iss. 3, s. 996-1002
- A new class of multivalent analytic functions defined by the Hadamard product. - Demonstratio Mathematica, 2011, Vol. 44, Iss. 2, s. 233-251
- A unified class of analytic functions with fixed argument of coefficients. - Acta Mathematica Scientia, 2011, Vol. 31, Iss. 4, s. 1357-1366
- Certain inequalities for classes of analytic functions with varying argument of coefficients. - Mathematical Inequalities & Applications, 2011, Vol. 14, nr 2, s. 389-398
- Inclusion relationships between classes of functions defined by subordination. - Annales Polonici Mathematici, 2011, Vol. 100, nr 2, s. 193-202
- Properties of new classes of multivalent analytic functions. - Matematički vesnik, 2011, Vol. 63, Iss. 3, s. 201-217
- [współaut.] Bansal S, Goswami P Certain results for a subclass of meromorphic multivalent functions associated with the wright functions. - European Journal of Pure and Applied Mathematics, 2010, Vol. 3, nr 4, s. 633-640
- [współaut.] Murugusundaramoorthy G A generalized class of starlike functions associated with the Wright hypergeometric function. - Matematički vesnik, 2010, vol. 62, no. 4, s. 271-283
- [współaut.] Ohriska J Applications of a first order differential subordination for analytic functions. - Journal of Mathematics and Applications, 2010, nr 32, s. 39-46
- [współaut.] Raina R Extremal problems in the class of analytic functions associated with Wright's function. - Advances in Pure and Applied Mathematics, 2010, Vol. 1, iss. 2, s. 247-258
- [współaut.] Szpila A Generalized classes of uniformly convex functions. - Journal of Mathematics and Applications, 2010, vol. 33, s. 13-26
- Classes of meromorphic functions defined by the extended Sălăgean operator. - Studia Universitatis Babes-Bolyai Mathematica, 2010, Vol. 55, no. 3, p. 123-130
- Classes of meromorphic functions defined by the Hadamard product. - International Journal of Mathematics and Mathematical Science, 2010, Article ID 302583, 11 s.
- Extremal problems in a generalized class of uniformly convex functions. - Bulletin de la Société des Sciences et des Lettres de Łódź. Serié: Recherches sur les déformations, 2010, vol. 60, no. 1, s. 95-108
- On the extreme points of subordination families. - Annales Polonici Mathematici, 2010, vol. 99, iss. 1, p. 23-37
- [współaut.] Aouf M Inclusion and neighborhood properties of certain subclasses of analytic and multivalent functions. - European Journal of Pure and Applied Mathematics, 2009, Vol. 2, nr 4, s. 544-553
- [współaut.] Murugusundaramoorthy G, Vijaya K A generalized class of k-starlike functions with varying arguments of coefficients. - Journal of Inequalities in Pure and Applied Mathematics, 2009, Vol. 10, nr 3, Paper No. 66 (9 s.)
- [współaut.] Murugusundaramoorthy G, Wiśniowska W Subordination results and integral means inequalities for generalized k-starlike functions. - Journal of Mathematics and Applications, 2009, vol. 31, s. 37-49
- [współaut.] Raina R Some results based on first order differential subordination with the Wright's generalized hypergeometric function. - Commentarii Mathematici Universitatis Sancti Pauli, 2009, vol. 58, no. 1, p. 87-94
- [współaut.] Srivastava H A unified class of analytic functions with varying argument of coefficients. - European Journal of Pure and Applied Mathematics, 2009, Vol. 2, nr 3, s. 302-324
- Applications of extreme points to distortion estimates. - Applied Mathematics and Computation, 2009, Vol. 215, iss. 1, s. 71-77
- Some inclusion properties of certain class of analytic functions. - Taiwanese Journal of Mathematics, 2009, Vol. 13, nr 6 B, s. 2001-2009
- [współaut.] Aouf M Certain class of analytic functions associated with the wright generalized hypergeometric function. - Journal of Mathematics and Applications, 2008, t. 30, s. 23-32
- [współaut.] Aouf M Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function. - Journal of Applied Analysis, 2008, vol. 14, nr 2, s. 183-192
- [współaut.] Stankiewicz J Classes of functions defined by subordination. - Journal of Mathematics and Applications, 2008, t. 30, s. 53-59
- On a subclass of p-valent functions. - Demonstratio Mathematica, 2008, vol. 41, nr 1, s. 63-71
- Wstęp do geometrycznej teorii funkcji analitycznych. Rzeszów, Uniwersytet Rzeszowski: 2008, 100, [3] s.
- [współaut.] Hüseyin I, Piejko K Some inequalities involving differential operators and their applications to certain multivalent functions. - Journal of Mathematics and Applications, (2007), Vol. 29, s. 109-120
- On some applications of the Briot-Bouquet differential subordination. - Journal of Mathematical Analysis and Applications, 2007, Vol. 328, iss. 1, s. 295-301
- On some class of functions with fixed argument of coefficients. - Zeszyty Naukowe Państwowej Wyższej Szkoły Zawodowej w Sanoku, 2007, nr 4, s.
- On the convex combination of the Dziok-srivastava operator. - Applied Mathematics and Computation, 2007, vol. 188, iss. 2, s. 1214-1220
- Some extremal problems in certain class of analytic functions. - Scientific Bulletin of Chełm. Section of Mathematics and Computer Science, 2007, nr 2, s.
- Some parametric family of functions. - Journal of Mathematics and Applications, (2007), Vol. 29, s. 99-107
- Some relations including various linear operators. - Demonstratio Mathematica, (2007), Vol. 40, nr 1, s. 77-84
- [współaut.] Hüseyin I, Piejko K Some results of certain normalized and/or non-normalized analytic functions and their applications to univalent functions theory. - Zeszyty Naukowe Państwowej Wyższej Szkoły Zawodowej im. Jana Grodka w Sanoku, (2006), Nr 3, s. 219-225
- [współaut.] Irmak H Fractional calculus operator and its applications in the geometric function theory. - Scientific Bulletin of Chełm. Section of Mathematics and Computer Science, 2006, nr 1, s. 43-66
- [współaut.] Trojnar-Spelina L On a class of functions with negative coefficients. - Journal of Mathematics and Applications, 2006, nr 28, s. 41-48
- [współaut.] Trojnar-Spelina L Some properties of certain class of p-valent analytic functions. - Scientific Bulletin of Chełm. Section of Mathematics and Computer Science, 2006, nr 2, s. 43-49
- Classes of analytic functions involving the Carlson-Shaffer operator. - Zeszyty Naukowe Państwowej Wyższej Szkoły Zawodowej im. Jana Grodka w Sanoku, (2006), Nr 3, s. 209-218
- [współaut.] Raina R Families of analytic functions associated with the Wright generalized hypergeometric function. - Demonstratio Mathematica, 2004, Vol. 37, nr 3, s. 533-542
- [współaut.] Raina R, Srivastava H Some classes of analytic functions associated with opaerators on Hilbert space involving Wright's generalized hypergeometric function. - Proceedeings of the Jangjeon Mathematical Society, (2004), Vol. 7, No. 1, s. 43-55
- Applications of the Jack lemma. - Acta Mathematica Hungarica, (2004), Vol. 105, no. 1-2, s. 93-102
- Some families of meromorphically multivalent functions and their applications. - Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka, (2004), Z. 27, s. 19-23
- [współaut.] Srivastava H Certain subclasses of analytic functions associated with the generalized hypergeometric function. - Integral Transforms and Special Functions, (2003), Vol. 14, Iss. 1, s. 7-18
- Certain operators and inequalities and their applications to meromorphically multivalent functions. - Demonstratio Mathematica, 2003, nr 4, s. 839-846
- [współaut.] Srivastava H Some subclasses of analitic functions with fixed argument of coefficients functions associated with the generalized hypergemetric function. - Advanced Studies in Contemporary Mathematics, 2002, vol. 5, nr 2, s. 115-125
- [współaut.] Irmak H Certain classes and inequalities and their applications to multivatently analytic functions. - Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka, (2001), Z. 25, s. 55-62