A Study of Cho-Kwon-Srivastava Operator with Applications to Generalized Hypergeometric Functions | Zendy

F. Ghanim | Zendy; Maslina Darus | Zendy

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A Study of Cho-Kwon-Srivastava Operator with Applications to Generalized Hypergeometric Functions

Author(s) -

F. Ghanim,

Maslina Darus

Publication year - 2014

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2014/374821

Subject(s) - mathematics , hadamard product , convolution (computer science) , hypergeometric function , generalized hypergeometric function , meromorphic function , convexity , operator (biology) , class (philosophy) , product (mathematics) , pure mathematics , analytic function , subordination (linguistics) , distortion (music) , hadamard transform , mathematical analysis , repressor , artificial intelligence , chemistry , computer science , financial economics , biochemistry , geometry , machine learning , artificial neural network , transcription factor , economics , gene , philosophy , cmos , electronic engineering , amplifier , linguistics , engineering

We introduce a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically functions related to Cho-Kwon-Srivastava operator. A characterization property giving the coefficient bounds is obtained for this class of functions. The other related properties, which are investigated in this paper, include distortion and the radii of starlikeness and convexity. We also consider several applications of our main results to generalized hypergeometric functions

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