Some Characteristics Properties for Linear Operator on Class of Multivalent Analytic Functions Defined by Differential Subordination

Authors

  • Zainab Swayeh Ghali Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniya, Iraq
  • Abbas Kareem Wanas Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniya, Iraq

DOI:

https://doi.org/10.29304/jqcsm.2024.16.31663

Keywords:

Multivalent function, Hadamard product, Convex functions, Differential subordination, Linear operator

Abstract

The purpose of this paper is to consider a linear operator and define a certain class  of analytic and multivalent functions in the open unit disk associated with differential subordination. Also, we discuss some geometric properties for this class.

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References

M. K. Aouf, R. M. El-Ashwah and A. M. Abd-Eltawab, Some inclusion relationships of certain subclasses of p-valent functions associated with a family of integral operators, ISRN Math, Anal, 8(2013)384170.

S. D. Bernardi, Convex and starlike univalent functions, Trans, Am, Math, Soc, 135(1969)429-446.

B. C. Carlson and D.B. Shffer Starlike and prestarlike hypergeometric function, SIAM J. Math. Anal., 15(1984)737-745.

J. H. Choi, M. Saigo and H. M. Srivastava, Some inclusion properties of a certain family of integral operators, J. Math. Anal. Appl., 276(2002)432-445.

Y. Dinggong and J. L. Liu, On a class of analytic functions involving Ruscheweyh derivatives, Bull. Korean Mwth. Soc., 39(1)(2002),123-131.

R. M, El-Ashwah and M. E. Drbuk, Subordination properties of p-valent functions defined by linear operators, Br. J. Math. Comput. Sci., 4(2014), 3000-3013.

I. B. Jung, Y. C. Kim and H.M. Srivastava, The Hardy space of analytic functions associated with certain parameter families of integral operators,J,Math,Anal,Appl,176(1993)138-147.

A. A. Kilbas, H. M. Srivastva, and J. J. Trujillo, Theory and Application of Fractionl Differential Equations; North-Holland Mathematical Studies; Elsevier (North-Holland)Science Publishers: Amsterdam, The Netherlands; London, UK; New York, NY,USA, 204, 2006.

V. Kiryakova, Generalized Franctionl Calculus and Applications; Pitman Research Notes in Mathematics; Longman Scientific and Techical: Harlow, UK, 301, 1993.

J. L. Liu, Certain convolution properties of multivalent analytic functions associated with a linear operator, General Mathematics, 17(2)(2009), 41-52.

R. J. Libera, Some classes of regular univalent functions, Proc. Am. Math. Soc., 16(1965), 755-758.

J. L. Liu and S. Owa, Properties of certain integral operator, Int. J. Math. Sci., 3(2004), 45-51.

S. S. Miller and P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J., 28(1981), 157-171.

K. I. Noor, On new classes of integral operators, J. Nat. Geom., 16(1999), 71-80.

J. K Prajapat and R. K. Raina, Some applications of differential subordination for a general class of multivalently analytic functions involving a convolution structure, Math. J. Okayama Univ., 52(2010), 147-158.

R. K. Raina and P, Sharma Subordination preserving properties associated with a class of operators, Matematiche, 68(2013), 217-228.

S. Ruscheweyh, New criteria for univalent functions, Proc. Am. Math. Soc., 49(1975), 109-115.

S. Ruscheweyh, Convolutions in Geometric Function Theory, Les Presses de 1'Université de Montréal, Montréal, 1982.

H. M. Srivastava, An introductory overview of fractional –calculus operators based upon the Fox-Wright and related higher transcendental function, J. Adv. Eng. Comput., 5(2021), 135-166.

H. Saitoh, S. Owa, T. Sekine, M. Nunokawa and R. Yamakawa, An applicationof a certain integral operator, Appl. Math. Lett., 5(1992), 21-24.

Y. Yang, Y. Tao and J. L. Liu, Differential subordinations for certain meromorphically multivalent functions defined by Dziok-Srivastava operator, Abstract and Applied Analysis, 2011(2011), Article ID 726518, 1-9.

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Published

2024-09-30

How to Cite

Swayeh Ghali, Z., & Kareem Wanas , A. (2024). Some Characteristics Properties for Linear Operator on Class of Multivalent Analytic Functions Defined by Differential Subordination. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(3), Math. 36–43. https://doi.org/10.29304/jqcsm.2024.16.31663

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Section

Math Articles