Appell Transforms Associated With Expansions in Terms of Generalized Heat Polynomials

  IJMTT-book-cover
 		 International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2014 by IJMTT Journal
Volume-6 Number-2                          
Year of Publication : 2014
Authors : B.B.Waphare
  10.14445/22315373/IJMTT-V6P515

MLA

B.B.Waphare. "Appell Transforms Associated With Expansions in Terms of Generalized Heat Polynomials", International Journal of Mathematical Trends and Technology (IJMTT). V6:149-175 February 2014. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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

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