Two more hypergeometric integral equations-Reference-Cited by-同舟云学术

Two more hypergeometric integral equations

Published:1967-10 Issue:4 Volume:63 Page:1055-1076
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Love E. R.

Abstract

SummaryThis paper is a sequel to one with a similar title to appear in the Proceedings of the Edinburgh Mathematical Society. Explicit solutions are found for two more integral equations of similar form; and also conditions necessary and sufficient for existence, and sufficient for uniqueness, of solutions. These theorems are preceded by several preparatory theorems on fractional integrals with origin ∞, including integrals of purely imaginary order.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. A class of integral equations involving ultraspherical polynomials as kernel

2. (12) Love E. R. Some integral equations involving hypergeometric functions, to appear in Proc. Edinburgh Math. Soc.

3. On Integrable Solutions of Abel's Integral Equation

4. An Inversion Integral for a Gegenbauer Transformation

5. An inversion integral

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