Appell Transforms Associated With Expansions in Terms of Generalized Heat Polynomials

B.B.Waphare

doi:https://doi.org/10.14445/22315373/IJMTT-V6P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 6 | Number 2 | Year 2014 | Article Id. IJMTT-V6P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V6P515

Appell Transforms Associated With Expansions in Terms of Generalized Heat Polynomials

B.B.Waphare

Citation :

B.B.Waphare, "Appell Transforms Associated With Expansions in Terms of Generalized Heat Polynomials," International Journal of Mathematics Trends and Technology (IJMTT), vol. 6, no. 2, pp. 149-175, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V6P515

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.

Keywords

Generalized heat polynomials, Appell transforms, generalized temperature function, Huygens property

References

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