Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-15T11:51:51.298Z Has data issue: false hasContentIssue false
  • English
  • Français

Some Series and Recurrence Relations for MacRobert's E-Function

Published online by Cambridge University Press:  18 May 2009

B. R. Bhonsle
B. R. Bhonsle
Affiliation:
Government College of Engineering and Technology, Raipur (M.P.), India
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Since [3]

where , a result involving Wk, m, (z) can be transformed into a result involving MacRobert's E-function. Further this result can be generalised with the help of the known integrals for E-functions.

The object of this paper is to use this method to obtain some recurrence relations and series for MacRobert's E-functions.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 5 , Issue 3 , January 1962 , pp. 116 - 117
Copyright
Copyright © Glasgow Mathematical Journal Trust 1962

References

1.Bhonsle, B. R., Some recurrence relations and series for the generalised Laplace transform, Proc. Glasgow Math. Assoc. 4 (1960), 119–121.CrossRefGoogle Scholar
2.Harishanker, , On some integrals and expansions involving Whittaker's confluent hypergeometric functions, Proc. Benares Math. Soc. 4 (1942), 51–57.Google Scholar
3.MacRobert, T. M., Functions of a complex variable, 4th edition (London, 1954).Google Scholar