Symmetric identities for the generalized Hermite-based unified Apostol type polynomials
zbMATH Open1547.05016MaRDI QIDQ6613078
Publication date: 1 October 2024
Published in: Palestine Journal of Mathematics (Search for Journal in Brave)
Hermite polynomialsStirling numbers of the second kindHermite-based Apostol Bernoulli polynomialsHermite-based Apostol Euler polynomialsHermite-based Apostol Genocchi polynomials
Bell and Stirling numbers (11B73) 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)
Cites Work
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- Modification and unification of the Apostol-type numbers and polynomials and their applications
- A new generalization of the Bernoulli and related polynomials
- Some implicit summation formulas and symmetric identities for the generalized Hermite-Bernoulli polynomials
- A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
- Unified Apostol-Bernoulli, Euler and Genocchi polynomials
- Exponential polynomials
- Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
- Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums
- Some series identities involving the generalized Apostol type and related polynomials
- Multiplication formulas for Apostol-type polynomials and multiple alternating sums
- Some families of Genocchi type polynomials and their interpolation functions
- Some Properties of the Generalized Apostol Type Hermite-Based Polynomials
- The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
- Some symmetry identities for the unified Apostol-type polynomials and multiple power sums
- A generalization of the Hurwitz - Lerch Zeta function
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