On derivatives of hypergeometric functions and classical polynomials with respect to parameters

P. C. Sofotasios; Yu A. Brychkov

doi:10.1080/10652469.2018.1504042

On derivatives of hypergeometric functions and classical polynomials with respect to parameters

P. C. Sofotasios^*
, Yu A. Brychkov

^*Tämän työn vastaava kirjoittaja

Tutkimustuotos: Artikkeli › Tieteellinen › vertaisarvioitu

8 Sitaatiot (Scopus)

Abstrakti

Closed expressions are obtained for derivatives of symbolic order with respect to parameters for the hypergeometric functions, Laguerre, Gegenbauer, Jacobi and some other polynomial.

Alkuperäiskieli	Englanti
Sivut	852-865
Sivumäärä	14
Julkaisu	Integral Transforms and Special Functions
Vuosikerta	29
Numero	11
DOI - pysyväislinkit	https://doi.org/10.1080/10652469.2018.1504042
Tila	Julkaistu - 2 marrask. 2018
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Rahoitus

This work was supported by the Russian Foundation for Basic Research under Project No. 17-07-00217.

Julkaisufoorumi-taso

Jufo-taso 1

!!ASJC Scopus subject areas

Analysis
Applied Mathematics

Pääsy asiakirjaan

10.1080/10652469.2018.1504042

Siteeraa tätä

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title = "On derivatives of hypergeometric functions and classical polynomials with respect to parameters",

abstract = "Closed expressions are obtained for derivatives of symbolic order with respect to parameters for the hypergeometric functions, Laguerre, Gegenbauer, Jacobi and some other polynomial.",

keywords = "33C20, 33C45, Bessel polynomial, C33, Charlier polynomial, continuous Hahn polynomial, differentiation, Gegenbauer polynomial, Hahn polynomial, hypergeometric functions, Jacobi polynomial, Krawtchouk polynomial, Laguerre polynomial, Legendre function, Meixner polynomial, Special functions",

author = "Sofotasios, \{P. C.\} and Brychkov, \{Yu A.\}",

year = "2018",

month = nov,

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doi = "10.1080/10652469.2018.1504042",

language = "English",

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TY - JOUR

T1 - On derivatives of hypergeometric functions and classical polynomials with respect to parameters

AU - Sofotasios, P. C.

AU - Brychkov, Yu A.

PY - 2018/11/2

Y1 - 2018/11/2

N2 - Closed expressions are obtained for derivatives of symbolic order with respect to parameters for the hypergeometric functions, Laguerre, Gegenbauer, Jacobi and some other polynomial.

AB - Closed expressions are obtained for derivatives of symbolic order with respect to parameters for the hypergeometric functions, Laguerre, Gegenbauer, Jacobi and some other polynomial.

KW - 33C20

KW - 33C45

KW - Bessel polynomial

KW - C33

KW - Charlier polynomial

KW - continuous Hahn polynomial

KW - differentiation

KW - Gegenbauer polynomial

KW - Hahn polynomial

KW - hypergeometric functions

KW - Jacobi polynomial

KW - Krawtchouk polynomial

KW - Laguerre polynomial

KW - Legendre function

KW - Meixner polynomial

KW - Special functions

U2 - 10.1080/10652469.2018.1504042

DO - 10.1080/10652469.2018.1504042

M3 - Article

AN - SCOPUS:85053369865

SN - 1065-2469

VL - 29

SP - 852

EP - 865

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 11

ER -

On derivatives of hypergeometric functions and classical polynomials with respect to parameters

Abstrakti

Rahoitus

Julkaisufoorumi-taso

!!ASJC Scopus subject areas

Pääsy asiakirjaan

Sormenjälki

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