New Hohlov Type Integral Operator involving Clausen's Hypergeometric Functions

2022/05/24 by K. Chandrasekran, Chandrasekran, K., D. J. Prabhakaran +1
Mathematics · #30C45 #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2205.13389

openalex publication_date 2022/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the integral operator I^a,b,c_d,e(f)(z) involving Clausen's Hypergeometric Function by means of convolution introduced by Chandrasekran and Prabhakaran for investigation. The conditions on the parameters a,b, c are determined using the integral operator I^{a,(b)/(2),(b+1)/(2)}_{(c)/(2), (c+1)/(2)}(f)(z) to study the geometric properties of Clausen's Hypergeometric Function for various subclasses of univalent functions.

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