Groups of partial differential operators and the generalized Bessel functions

被引：0

作者：

Khriptun, M. D. ^{[1
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 05期

关键词：

GBF; recurrence relation; generating function; addition theorem; DISTRIBUTED ARRIVAL RATE; SINGLE-CHANNEL QUEUE; EQUATIONS;

D O I：

10.1134/S0037446612050163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering the generalized Bessel functions satisfying a special ordinary differential equation of mth order, we derive some addition theorems and generating functions with the help of some algebra constructed for a group of first order partial differential operators grounding on the recurrence relations for these functions.

引用

页码：918 / 926

页数：9

共 50 条

[1] Groups of partial differential operators and the generalized Bessel functions
M. D. Khriptun
[J]. Siberian Mathematical Journal, 2012, 53 : 918 - 926
[2] PARTIAL SUMS OF GENERALIZED BESSEL FUNCTIONS
Orhan, Halit
Yagmur, Nihat
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (04): : 863 - 877
[3] Generalized functions, nonlinear partial differential equations, and Lie groups
Oberguggenberger, M
[J]. GEOMETRY ANALYSIS AND APPLICATIONS, 2001, : 271 - 281
[4] Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients
Hoermann, Guenther
Oberguggenberger, Michael
Pilipovic, Stevan
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (08) : 3363 - 3383
[5] Convexity of integral operators involving generalized Bessel functions
Deniz, Erhan
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2013, 24 (03) : 201 - 216
[6] Differential Subordinations Involving Generalized Bessel Functions
Árpád Baricz
Erhan Deniz
Murat Çağlar
Halit Orhan
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 1255 - 1280
[7] DIFFERENTIAL SUBORDINATIONS AND SUPERORDINATIONS FOR GENERALIZED BESSEL FUNCTIONS
Al Kharsani, Huda A.
Baricz, Arpad
Nisar, Kottakkaran S.
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 127 - 138
[8] APPLICATIONS OF DIFFERENTIAL SUBORDINATIONS FOR GENERALIZED BESSEL FUNCTIONS
Liu, Jin-Lin
[J]. HOUSTON JOURNAL OF MATHEMATICS, 2019, 45 (01): : 71 - 85
[9] Differential Subordinations Involving Generalized Bessel Functions
Baricz, Arpad
Deniz, Erhan
Caglar, Murat
Orhan, Halit
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (03) : 1255 - 1280
[10] COMPLEMENTED KERNELS OF PARTIAL-DIFFERENTIAL OPERATORS IN WEIGHTED SPACES OF (GENERALIZED) FUNCTIONS
LANGENBRUCH, M
[J]. STUDIA MATHEMATICA, 1988, 89 (01) : 37 - 63

← 1 2 3 4 5 →