A New Generating Function for Hermite Polynomials

A New Generating Function for Hermite Polynomials

This paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function. Recurrence relations of Hermite polynomials and another version of its contour integral representation are derived from this version of th...

Full description

Saved in:

Bibliographic Details
Main Author:	Manouchehr Amiri
Format:	Article
Language:	English
Published:	Wiley 2025-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/ijmm/9075713
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

New Laguerre-polynomials’ generating functions derived by virtue of operator Hermite-polynomial method and entangled state representation
by: Ke Zhang, et al.
Published: (2025-05-01)

On generalized Hermite polynomials
by: Waleed Mohamed Abd-Elhameed, et al.
Published: (2024-11-01)

A pair of biorthogonal polynomials for the Szegö-Hermite weight function
by: N. K. Thakare, et al.
Published: (1988-01-01)

Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial
by: Rabia Bibi, et al.
Published: (2021-01-01)

Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials
by: Taekyun Kim, et al.
Published: (2012-01-01)

Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials
by: Taekyun Kim, et al.
Published: (2012-01-01)

Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials
by: Hee Sun Jung, et al.
Published: (2013-01-01)

Exploring differential equations and fundamental properties of Generalized Hermite-Frobenius-Genocchi polynomials
by: Awatif Muflih Alqahtani, et al.
Published: (2025-02-01)

Some New Generating Functions for q-Hahn Polynomials
by: Yun Zhou, et al.
Published: (2014-01-01)

Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomials
by: Mohra Zayed, et al.
Published: (2024-12-01)

New Generating Function Relations for the q-Generalized Cesàro Polynomials
by: Nejla Özmen
Published: (2019-01-01)

A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function
by: Yilmaz Simsek, et al.
Published: (2010-01-01)

New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function
by: Saad Ihsan Butt, et al.
Published: (2021-01-01)

Generating new classes of orthogonal polynomials
by: Amílcar Branquinho, et al.
Published: (1996-01-01)

Some generating functions of Laguerre polynomials
by: Bidyut Kumar Guha Thakurta
Published: (1987-01-01)

On approximation of functions and their derivatives by quasi-Hermite interpolation
by: G. Min
Published: (1996-01-01)

A New Unconditionally Stable Method for Telegraph Equation Based on Associated Hermite Orthogonal Functions
by: Di Zhang, et al.
Published: (2016-01-01)

A New Inclusion on Inequalities of the Hermite–Hadamard–Mercer Type for Three-Times Differentiable Functions
by: Talib Hussain, et al.
Published: (2024-11-01)

Investigating high-energy Hermite–Gaussian and vortex laser generation in alexandrite
by: Enlin Cai, et al.
Published: (2025-01-01)

A Note on Hermite-Hadamard Inequalities for Products of Convex Functions
by: Feixiang Chen
Published: (2013-01-01)

Hermite–Hadamard-Type Inequalities for Product of Functions by Using Convex Functions
by: Tariq Nawaz, et al.
Published: (2021-01-01)

A generalization of Hermite interpolation
by: Xie-Hua Sun, et al.
Published: (1997-01-01)

New estimates on generalized Hermite–Hadamard–Mercer-type inequalities
by: Çetin Yıldız, et al.
Published: (2025-02-01)

Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
by: Feixiang Chen, et al.
Published: (2014-01-01)

Strong Inequalities for Hermite-Fejér Interpolations and Characterization of K-Functionals
by: Gongqiang You
Published: (2014-01-01)

SOME INEQUALITIES OF THE HERMITE HADAMARD TYPE FOR PRODUCT OF TWO FUNCTIONS
by: Nguyen Ngoc Hue, et al.
Published: (2016-09-01)

Quantum Inequalities of Hermite–Hadamard Type for r-Convex Functions
by: Xuexiao You, et al.
Published: (2021-01-01)

A New Approach of Constrained Interpolation Based on Cubic Hermite Splines
by: J. Saeidian, et al.
Published: (2021-01-01)

Some new Hermite-Hadamard type inequalities for product of strongly h-convex functions on ellipsoids and balls
by: Song Jinwen, et al.
Published: (2025-08-01)

Extended Hermite–Hadamard inequalities
by: Lakhlifa Sadek, et al.
Published: (2024-12-01)

A new refinement of the Hermite-Hadamard type inequalities for operator ( p − q ) $(p-q) $ -convex functions
by: Gholamreza Zabandan, et al.
Published: (2025-06-01)

Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals
by: Guangzhou Li, et al.
Published: (2014-01-01)

On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Several Functions
by: Banyat Sroysang
Published: (2013-01-01)

Erratum to “On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions”
by: Tian-Yu Zhang, et al.
Published: (2014-01-01)

Left-sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions
by: Kerim Bekar
Published: (2020-06-01)

ON NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE FOURTH DERIVATIVE ABSOLUTE VALUES ARE QUASI-CONVEX WITH APPLICATIONS
by: Imran Abbas Baloch, et al.
Published: (2016-03-01)

Simultaneous approximation by polynomials in Orlicz spaces generated by quasiconvex Young functions
by: huseyin koc
Published: (2016-11-01)

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities
by: Maryam Gharamah Ali Alshehri, et al.
Published: (2024-01-01)

Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions
by: Kemi Apanpa, et al.
Published: (2025-01-01)

Some Hermite–Hadamard Type Inequality for the Operator p,P-Preinvex Function
by: Mahsa Latifi Moghadam, et al.
Published: (2025-01-01)