The Lagrange Polynomials, the Associated Generalizations, and the Umbral Calculus

G. Dattoli, Paolo Emilio Ricci, Clemente Cesarano

Type: Article

Publication Date: 2003-04-01

Citations: 29

DOI: https://doi.org/10.1080/1065246031000098186

View Publication

Locations

Integral Transforms and Special Functions - View

Similar Works

Action	Title	Year	Authors
+	A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra	2013	Rahime Dere Yılmaz Şimşek H. M. Srivastava
+	Apostol-Euler polynomials arising from umbral calculus	2013	Taekyun Kim Toufik Mansour Seog-Hoon Rim
+ PDF Chat	Apostol-Euler polynomials arising from umbral calculus	2013	Taekyun Kim Toufik Mansour Seog-Hoon Rim Sang-Hun Lee
+	The umbral calculus and orthogonal polynomials	1990	A N Kholodov
+	The Umbral Calculus	1992	Steven Roman
+	The Umbral Calculus	1984	Steven Roman
+ PDF Chat	Bernoulli polynomials of the second kind and their identities arising from umbral calculus	2016	Taekyun Kim Dae San Kim Dmitry V. Dolgy Jong-Jin Seo
+	Umbral "classical" polynomials	2014	Alexei Zhedanov
+ PDF Chat	Identities involving Laguerre polynomials derived from umbral calculus	2014	T. Kim
+ PDF Chat	Normalized polynomials and their multiplication formulas	2013	Rahime Dere Yılmaz Şimşek
+ PDF Chat	On Generalized Lagrange-Based Apostol-type and Related Polynomials	2022	Waseem A. Khan
+	Umbral "classical" polynomials	2014	Alexei Zhedanov
+	Umbral Calculus and New Trigonometries	2023	Silvia Licciardi
+ PDF Chat	Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus	2013	Dae San Kim Taekyun Kim Dmitry V. Dolgy Seog-Hoon Rim
+	q-Hermite Base Euler polynomials based upon the q-umbral algebra	2018	Rahime Dere
+ PDF Chat	Umbral orthogonal polynomials	2010	J. E. López-Sendino M. A. del Olmo Kurt Bernardo Wolf Luis Benet Juan Mauricio Torres Peter O. Hess
+ PDF Chat	Some Hermite base polynomials on q-umbral algebra	2016	Rahime Dere
+ PDF Chat	Some identities of higher-order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus	2013	Dae San Kim Taekyun Kim Dmitry V. Dolgy Seog-Hoon Rim
+	Applications of <em>q</em>-Umbral Calculus to Modi ed Apostol Type <em>q</em>-Bernoulli Polynomials	2017	Mehmet Açíkgöz Resul Ates Uğur Duran Serkan Aracı
+ PDF Chat	Some results for Apostol-type polynomials associated with umbral algebra	2013	Da-Qian Lu Chang-He Xiang Qiu-Ming Luo

Works That Cite This (26)

Action	Title	Year	Authors
+ PDF Chat	Fourier Method For an Existence of Quasilinear Inverse Pseudo-Parabolic Equation	2024	İrem Bağlan Fatma Kanca Vishnu Narayan Mishra
+	Summation identities involving certain classes of polynomials	2012	Shuoh-Jung Liu Shy‐Der Lin Kung-Yu Chen H. M. Srivastava
+	Bilateral generating functions for the Erkuş–Srivastava polynomials and the generalized Lauricella functions	2012	Shuoh-Jung Liu Shy‐Der Lin H. M. Srivastava Mu-Ming Wong
+	On a multivariable extension of the Lagrange–Hermite polynomials	2006	Abdullah Altın Esra Erku
+ PDF Chat	Some bilateral generating functions involving the Erkus-Srivastava polynomials and some general classes of multivariable polynomials	2014	Sébastien Gaboury Richard E. Tremblay Mehmet Ali Özarslan
+ PDF Chat	On generalized Lagrange–Hermite–Bernoulli and related polynomials	2020	Waseem A. Khan M. A. Pathan
+ PDF Chat	Pochhammer symbol with negative indices. A new rule for the method of brackets	2016	Iván González Lin Jiu Victor H. Moll
+ PDF Chat	On Generalized Lagrange-Based Apostol-type and Related Polynomials	2022	Waseem A. Khan
+ PDF Chat	Integral transforms and extended Voigt functions	2019	M. A. Pathan
+ PDF Chat	Some generating functions involving certain polynomials of two variables	2017	Ahmed Ali Al-Gonah

Works Cited by This (6)

Action	Title	Year	Authors
+	Fonctions hypergéométriques et hypersphériques : polynomes d'Hermite	1926	Paul Appell J. Kampé de Fériet
+	A treatise on generating functions	1984	Adrienne W. Kemp H. M. Srivastava H. L. Manocha
+	Special functions for engineers and applied mathematicians	1985	Larry C. Andrews
+	Evolution operator equations: Integration with algebraic and finitedifference methods. Applications to physical problems in classical and quantum mechanics and quantum field theory	1997	G. Dattoli P. L. Ottaviani A. Torre Luis Vázquez
+	Monumbral Polynomials and the Associated Formalism	2002	G. Dattoli Paolo Emilio Ricci Clemente Cesarano
+	Special functions for engineers and applied mathematicians	1986	David A. Gershfeld