Certain generating funtion of generalized Apostol type Legendre-based polynomials

DOI10.1285/i15900932v37n2p21zbMath1385.05010OpenAlexW2788926807MaRDI QIDQ4639069

M. Aman, Talha Usman, Nabiullah Khan

Publication date: 2 May 2018

Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/18694/15982

zbMATH Keywords

Hermite polynomialsLegendre polynomialssummation formulaesymmetric identities0th order Tricomi functiongeneralized Apostol Bernoulli numbersgeneralized Apostol Bernoulli polynomialsgeneralized Apostol Euler numbersgeneralized Apostol Euler polynomialsgeneralized Apostol Genocchi numbersgeneralized Apostol Genocchi polynomialsgeneralized Apostol-type Legendre-based polynomialstwo variable extensions

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hypergeometric functions (33C99)

Related Items

Construction of partially degenerate Laguerre-Genocchi polynomials with their applications, A generalization of the Laguerre polynomials, Poly-Genocchi polynomials and its applications, A unified family of multivariable Legendre poly-Genocchi polynomials, Higher Order Apostol-Type Poly-Genocchi Polynomials with Parameters a, b and c, The multi-variable unified family of generalized Apostol-type polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new generalization of the Bernoulli and related polynomials
• A new class of Laguerre-based generalized Apostol polynomials
• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• Some new families of generalized Euler and Genocchi polynomials
• Extensions of the Genocchi polynomials and their Fourier expansions and integral representations
• Operational formulas connected with two generalizations of Hermite polynomials
• Generalized polynomials, operational identities and their applications
• Several identities for the generalized Apostol-Bernoulli polynomials
• Some properties of the generalized Apostol-type polynomials
• Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
• The special functions and their approximations. Vol. I, II
• A new class of generalized Hermite–Bernoulli polynomials
• On multiple sums of special functions
• A Note on Legendre Polynomials
• CERTAIN GENERATING FUNCTION OF HERMITE-BERNOULLI-LAGUERRE POLYNOMIALS