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Some further properties of a q-analogue of MacRobert's E-function

Published online by Cambridge University Press:  18 May 2009

R. P. Agarwal
R. P. Agarwal
Affiliation:
Lucknow University, LucknowIndia
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1. Introduction. Recently, I gave an analogue [1] of the MacRobert's E-function [4[ in the form

where the symbol denotes that a similar expression with a and β interchanged is to be added to the expression following it. It has since then been generalized by N. Agarwal [2], who defined and studied the q-analogue of the generalized E-function. In this paper I give some further properties of the Eq-function.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 6 , Issue 1 , January 1963 , pp. 34 - 38
Copyright
Copyright © Glasgow Mathematical Journal Trust 1963

References

REFERENCES

1.Agarwal, R. P., A basic analogue of MacRobert's E-function, Proc. Glasgow Math. Assoc. 5 (1961), 4–7.Google Scholar
2.Agarwal, N., A q-analogue of MacRobert's generalized E-function, Ganita 12 (1961).Google Scholar
3.Hahn, W., Über die höheren Heineschen Reihen und eine einheitliche Theorie der sogenannten speziellen Funktionen, Math. Nachr. 3 (1950), 257–294.Google Scholar
4.MacRobert, T. M., Induction proofs of the relation between certain asymptotic expansions and corresponding generalized hypergeometric series, Proc. Roy. Soc. Edinburgh 58 (1937), 1–13.Google Scholar