Appell Transforms Associated With Expansions in Terms of Generalized Heat Polynomials

Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 6, Issue 2

Abstract

In this paper we have discussed the regions of convergence of the series Σ∞n=0 anpn,α,β and Σ∞n=0 bn Wn,α,β (x1t).We have also discussed the class H*of generalized temperature functions having the Huygens property. Finally expansions for generalized temperature functions in terms of polynomials are derived and criteria for the expansions of functions in terms of Wn,α,β (x1t) is also established

Authors and Affiliations

B. B. Waphare

Keywords

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  • EP ID EP152375
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How To Cite

B. B. Waphare (2014). Appell Transforms Associated With Expansions in Terms of Generalized Heat Polynomials. INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY, 6(2), 149-175. https://europub.co.uk/articles/-A-152375