본문 바로가기
KERD
논문KCI 등재

Coefficient estimates of classes of q-starlike and q-convex functions

HUDA ALDWEBY|MASLINA DARUS
장전수학회 (Jangjeon Mathematical Society)|2016.01|Advanced Studies in Contemporary Mathematics|제26권 제1호|pp. 21-26

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

subordinationq-starlike functionq-convex functionqderivative operator
주제분류수학

초록

In this paper, we introduce new classes of q-starlike and q-convex functions involving the q-derivative operator defined on the open unit disk. Furthermore, we obtain estimates on the second and third coefficients of these classes.

Abstract

In this paper, we introduce new classes of q-starlike and q-convex functions involving the q-derivative operator defined on the open unit disk. Furthermore, we obtain estimates on the second and third coefficients of these classes.

참고문헌 (20)

  1. F. H. Jackson, "On q- definite integrals", The Quarterly Journal of Pure and Applied Mathematics, 41, pp.193~203 (1910)
  2. F. H. Jackson, "On q− functions and a certain difference operator", Transactions of the Royal Society of Edinburgh, 46, pp.253~281 (1908)
  3. A. Oshah, "New Subclass of Analytic Functions Defined by q-Differentiation", Information-An International Interdisciplinary Journal, 18(7), pp.2897~2908
  4. A. Aral, "On q-Baskakov type operators", Demonstratio Mathematica, 42(1), pp.109~122 (2009)
  5. A. Aral, "Generalized q-Baskakov operators", Mathematica Slovaca, 61(4), pp.619~634 (2011)
  6. A. Aral, "On the Durrmeyer type modification of the q-Baskakov type operators", Nonlinear Analysis: Theory, Methods & Applications, 72(3-4), pp.1171~1180 (2010)
  7. G. A. Anastassiou, "Geometric and approximation properties of some singular integrals in the unit disk", Journal of Inequalities and Application, pp.19~ (2006)
  8. George A. Anastassiou, "Geometric and Approximation Properties of Generalized Singular Integrals in the Unit Disk", 대한수학회지, 43(2), pp.425~443 (2006), 대한수학회
  9. A. Aral, "On the generalized Picard and Gauss Weierstrass singular integrals", Journal of Computational Analysis and Applications, 8(3), pp.246~261 (2006)
  10. G. Murugusundaramoorthy, "Coefficient estimate of biunivalent functions based on q-hypergeometric functions", Applied Sciences, 17, pp.75~85 (2015)
  11. A. Mohammed, "A generalized operator involving the q-hypergeometric function", Matematicki Vesnik, 65(4), pp.454~465 (2013)
  12. H. Aldweby, "A Subclass of Harmonic Univalent Functions Associated with q-Analogue of Dziok-Srivatava Operator", ISRN Mathematical Analysis, 2013, pp.6~
  13. H. Aldweby, "A subclass of Harmonic Meromorphic Functions Associated with Basic Hypergeometric Function", The Scientific World Journal, 2013, pp.7~
  14. A. Aral, "Applications of q-Calculus in Operator Theory" (2013), Springer
  15. W. C. Ma, "An internal geometric characterization of strongly starlike functions", Annales Universitatis Mariae Curie-Sk lodowska A, 45, pp.8997~ (1991)
  16. J. W. Alexander, "functions which map the interior of the unit circle upon simple regions", Anal. Math, 17, pp.12~22 (1915)
  17. W. C. Ma, "A unified treatment of some special classes of univalent functions", Proceeding of the Conference on Complex Analysis, pp.157~169 (1992), Internat. Press
  18. K. Lowner, "Untersuchungen uber die verzerrung bei konformen abbildungen des eingeitschkreises die durch functionen mit nicht verschwindender abeingtung geliefert warden", Ber. Verh. Sachs. Ges. Wiss. Leipzig, 69, pp.89~106 (1917)
  19. Huda Aldweby, "Partial sum of generalized class of meromorphically univalent functions defined by q-analogue of Liu–Srivastava operator", Asian-European Journal of Mathematics, 07(03), pp.1450046~ (2014), World Scientific Pub Co Pte Lt[DOI]
  20. M. S. Robertson, "On the theory of univalent functions", Ann. Math, 37, pp.374~408 (1936)

관련 논문AI추천

Coeefficient Estimates for a Subclass of Bi-univalent Functions Defined by S al agean Type q-Calculus OperatorMallikarjun Gurullingappa Shrigan, Prakash Namdeo Kamble경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제4호Starlikeness of q-differential operator involving quantum calculusIbtisam Aldawish, Maslina Darus강원경기수학회 · 한국수학논문집2014 · 제22권 제4호On the Fekete-Szegő Problem for a Certain Class of Meromorphic Functions Using q-Derivative OperatorHalit Orhan, Mohamed Kamal Aouf경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제2호Analytic functions with conic domains associated with certain generalized $q$-integral operatorAsena Cetinkaya, Naveen Kumar Jain, OM P. AHUJA대한수학회 · 대한수학회논문집2023 · 제38권 제4호Fekete-Szeg\"{o} inequalities for a new general subclass of analytic functions involving the $\left( p,q\right)$-derivative operatorSerap Bulut대한수학회 · 대한수학회논문집2022 · 제37권 제3호Certain subclasses of starlike and convex functions of order α with negative coefficientsN. Magesh, V. PRAMEELA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호

이 간행물의 다른 논문 (17건)

On the modified degenerate Bernoulli polynomials권혁인, DMITRY V. DOLGY, 김태균, 서종진pp. 1-9Some summation and Laplace transformation formulas for the Gauss hypergeometric seriesM. I. Qureshi, Chaudhary Wali Mohammad, M. S. Baboo, H. M. Srivastavapp. 11-20Global threshold dynamics in a generalized virus infection model with CTL immune response and two intracellular delaysN. H. ALSHAMRANI, A. M. ELAIWpp. 27-43On certain Ramanujan's modular equations of degree 7K. R. Vasuki, R. G. veereshapp. 45-61Pathway fractional integral operator associated with struve function of first kindK.S. NISAR, Praveen Agarwal, S.R. MONDALpp. 63-70
원문 보기