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Hardy space of Clausen's and Goursat's hypergeometric functions

Year: 2025

Type: article

Abstract: Let ℛ denote the class of analytic functions defined in the open unit disc Δ=\z∈ ℂ: |z|<1\ whose derivative has positive real part and H∞ be the space of all bounded analytic functions defined in the open unit disc. In this research article we determine the conditions on the parameters of Clausen's hypergeometric function, 3F2(a,b,c;d,e;z) and Goursat's hypergeometric function, 2F2(a,b;c,d;z) so that the convolution of z3F2(a,b,c;d,e;z) and z2F2(a,b;c,d;z) with a function in ℛ belong to H∞ ∩ ℛ.

Source: DOAJ (DOAJ: Directory of Open Access Journals)

Authors: Jocelyn Johnson, S. Sunil Varma

Institutions: University of Madras, Madras Christian College

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7056914027

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