A new class of generalized polynomials associated with Hermite and Euler polynomials

DOI10.1007/s00009-015-0551-1zbMath1396.33025OpenAlexW2007891558MaRDI QIDQ327324

Waseem A. Khan, Mahmood A. Pathan

Publication date: 19 October 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0551-1

zbMATH Keywords

Hermite polynomialssummation formulaeEuler polynomialsHermite-Euler polynomialssymmetric identities

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions defined by series and integrals (33E20)

Related Items (18)

Certain Properties of Apostol-Type Hermite-Based- Frobenius-Genocchi Polynomials ⋮ On \(\lambda \)-Changhee-Hermite polynomials ⋮ Unnamed Item ⋮ On the generalized Apostol-type Frobenius-Genocchi polynomials ⋮ Unnamed Item ⋮ A new class of higher order hypergeometric Bernoulli polynomials associated with Hermite polynomials ⋮ Unnamed Item ⋮ A NEW CLASS OF GENERALIZED APOSTOL-TYPE FROBENIUS-EULER-HERMITE POLYNOMIALS ⋮ A new class of generalized polynomials ⋮ Recurrence relations for orthogonal polynomials on triangular domains ⋮ A new class of generalized polynomials involving Laguerre and Euler polynomials ⋮ Unnamed Item ⋮ A note on q-analogue of Hermite-poly-Bernoulli numbers and polynomials ⋮ Unnamed Item ⋮ Symmetric identities of Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a Dirichlet character \(\chi\) ⋮ A note on the truncated-exponential based Apostol-type polynomials ⋮ Unnamed Item ⋮ On the three families of extended Laguerre-based Apostol-type polynomials

Cites Work

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• Hermite base Bernoulli type polynomials on the umbral algebra
• Several identities for the generalized Apostol-Bernoulli polynomials
• Implicit summation formulae for Hermite and related polynomials
• A Symmetry of Power Sum Polynomials and Bernoulli Numbers
• A new class of generalized Hermite–Bernoulli polynomials
• Complete sum of products of (h,q)-extension of Euler polynomials and numbers
• Some families of Genocchi type polynomials and their interpolation functions
• Two Classes of Generalized Polynomials

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