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Ramanujan's remarkable summation formula and an interesting convolution identity

Published online by Cambridge University Press:  17 April 2009

S. Bhargava Chandrashekar Adiga  and
D.D. Somashekara
S. Bhargava Chandrashekar Adiga
Affiliation:
Department of Mathematics, University of Mysore, Manasagangotri Mysore 570 006, India
D.D. Somashekara
Affiliation:
Department of Mathematics, Yuvaraja's College University of Mysore, Mysore 570 005, India
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Abstract

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In this note we obtain a convolution identity for the coefficients Bn(α, θ, q) defined by

using Ramanujan's 1Ψ1 summation. The identity contains as special cases convolution identities of Kung-Wei Yang and a few more interesting analogue.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 1 , February 1993 , pp. 155 - 162
Copyright
Copyright © Australian Mathematical Society 1993

References

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