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A new class of generalized Hermite–Bernoulli polynomials
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Mahmood A. Pathan
Published/Copyright:
September 18, 2012
Abstract.
In this paper, we introduce a new class of generalized Hermite–Bernoulli polynomials and derive some implicit summation formulae and symmetric identities by using different analytical means and applying generating functions. These results extend some known summations and identities of generalized Bernoulli polynomials studied by Pierpaolo Natalini and Angela Bernardini, Bernoulli numbers, Bernoulli polynomials and Hermite polynomials.
Keywords: Hermite polynomials; Bernoulli polynomials; Hermite–Bernoulli polynomials; summation formulae; symmetric identities
Received: 2010-10-08
Published Online: 2012-09-18
Published in Print: 2012-09-01
© 2012 by Walter de Gruyter Berlin Boston
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Keywords for this article
Hermite polynomials;
Bernoulli polynomials;
Hermite–Bernoulli polynomials;
summation formulae;
symmetric identities
Articles in the same Issue
- Masthead
- The Plemelj–Privalov theorem in variable exponent Clifford analysis
- Almost everywhere convergence of a subsequence of logarithmic means of Fourier series on the group of 2-adic integers
- Identities and generating functions on Chebyshev polynomials
- Left annihilators of power values of commutators with generalized derivations
- On various classes of bitopological spaces
- On P-torsion modules over a pullback of two Dedekind domains
- A remark on a polynomial matrix factorization theorem
- Convergence of double Fourier series and generalized Λ-variation
- On monoids of monotone injective partial selfmaps of integers with cofinite domains and images
- On the boundedness of product kernel operators with measures
- A new class of generalized Hermite–Bernoulli polynomials
- Global nonexistence and stability of solutions of inverse problems for a class of Petrovsky systems
- Comment on the sums
