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

Related Articles

Quasi-Static Thermal Stresses in a Robin’s Thin Hollow Cylinder with Internal Moving Heat Source

This paper is a transient non-homogeneous thermoelastic problem with Robin’s boundary condition in thin hollow cylinder of isotropic material of inner radius , outer radius and height occupying region R: having initial t...

 Semipre Generalized Closed Mappings in Intuitionistic Fuzzy Topological Spaces

 In this paper we introduce intuitionistic fuzzy semipre generalized closed mappings, intuitionistic fuzzy semipre generalized open mappings and intuitionistic fuzzy M-semipre generalized closed mappings and we stud...

 A Sparse Twin SVM for multi-classification problems

 We propose Sparse TSVM, a multi-class SVM classifier that determines k nonparallel planes by solving k related SVM-type problems. The Sparse TSVM promotes Twin SVM to one-versus-rest approach. And it capture classe...

A New Class of Regular Weakly Closed Sets and Functions Using Grills

The purpose of this paper is to introduce and study a new class of regular weakly closed sets and functions in a topological space X , de ned in terms of a grill G on X . Explicit characterization of such sets along with...

On wgrα - Homeomorphisms in Topological Spaces

A bijection f: (X, τ) → (Y, σ) is called weakly generalized regular α- homeomorphism if f and f-1are wgrα-continuous. Also we introduce the new class of maps, namely wgrαc-homeomorphisms which form a subclass of wgrα-ho...

Download PDF file
  • EP ID EP152375
  • DOI -
  • Views 93
  • Downloads 0

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