Laguerre-Cayley Functions and Related Polynomials

被引：0

作者：

Makarov, Volodymyr ^{[1
]}

Makarov, Serhii ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

[2] Jr Acad Sci Ukraine, Natl Ctr, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2024年 / 76卷 / 03期

关键词：

D O I：

10.1007/s11253-024-02332-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the main properties of the Laguerre-Cayley functions and related polynomials, which can be regarded as an essential component of the mathematical apparatus of the functional-discrete (FD-) method used to solve the Cauchy problem for an abstract homogeneous evolutionary equation of fractional order.

引用

页码：474 / 483

页数：10

共 50 条

[21] On Approximation of Functions on the Half-Line by Laguerre Polynomials and Functions
R. Z. Dautov
Lobachevskii Journal of Mathematics, 2022, 43 : 935 - 947
[22] Multilateral Generating Functions for Classes of Polynomials Involving Multivariable Laguerre Polynomials
Ozarslan, Mehmet Ali
Kaanoglu, Cem
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (04) : 683 - 691
[23] A CLASS OF NONORTHOGONAL POLYNOMIALS RELATED TO THOSE OF LAGUERRE
TRICOMI, FG
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (02) : 134 - 134
[24] GENERATING FUNCTIONS FOR GENERALIZED HERMITE, LAGUERRE AND BESSEL POLYNOMIALS
JOSHI, CM
PRAJAPAT, ML
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (06): : A543 - A543
[25] GENERATING-FUNCTIONS OF LAGUERRE AND JACOBI-POLYNOMIALS
GABUTTI, B
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1983, 2A (02): : 179 - 182
[26] CERTAIN GENERATING FUNCTIONS FOR JACOBI, LAGUERRE AND RICE POLYNOMIALS
SRIVASTAVA, HM
SINGHAL, JP
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1972, 20 (05): : 355 - +
[27] Probabilistic derivation of some generating functions for the Laguerre polynomials
Lee, PA
Ong, SH
Srivastava, HM
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (7-8) : 21 - 29
[28] Some functions that generalize the Krall-Laguerre polynomials
Grünbaum, FA
Haine, L
Horozov, E
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 106 (02) : 271 - 297
[29] Some New Generating Functions for the Modified Laguerre Polynomials
Ozmen, Nejla
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 11 (06) : 1398 - 1414
[30] REPRESENTATION OF ANALYTIC-FUNCTIONS BY MEANS OF LAGUERRE POLYNOMIALS
RUSEV, P
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1977, 30 (02): : 175 - 178

← 1 2 3 4 5 →