Mikusinski's operational calculus with algebraic foundations and applications to Bessel functions

被引：3

作者：

Bengochea, Gabriel ^{[1
]}

Lopez, Gabriel ^{[2
]}

机构：

[1] Univ Autonoma Ciudad Mexico, SLT, Acad Matemat, Mexico City, DF, Mexico

[2] Univ Autonoma Metropolitana, Dept Matemat, Mexico City, DF, Mexico

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2014年 / 25卷 / 04期

关键词：

operational calculus; special functions; Bessel functions;

D O I：

10.1080/10652469.2013.838956

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct an operational calculus supported on the algebraic operational calculus introduced by Bengochea and Verde [Linear algebraic foundations of the operational calculi. Adv Appl Math. 2011;47:330-351]. With this operational calculus we study the solution of certain Bessel-type equations.

引用

页码：272 / 282

页数：11

共 50 条

[1] Mikusinski's operational calculus for Prabhakar fractional calculus
Rani, Noosheza
Fernandez, Arran
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2022, 33 (12) : 945 - 965
[2] MIKUSINSKI OPERATIONAL CALCULUS - REMARK
OKAMOTO, S
[J]. STUDIA MATHEMATICA, 1984, 77 (01) : 99 - 101
[3] ON CONVERGENCE IN THE MIKUSINSKI OPERATIONAL CALCULUS
BURZYK, J
[J]. STUDIA MATHEMATICA, 1983, 75 (03) : 313 - 333
[4] A GENERALIZATION OF MIKUSINSKI OPERATIONAL CALCULUS
WOOD, JA
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 19 (04) : 777 - +
[5] A SIMPLE COMPLEMENT TO MIKUSINSKI OPERATIONAL CALCULUS
YOSIDA, K
[J]. STUDIA MATHEMATICA, 1984, 77 (01) : 95 - 98
[6] DIFFERENCE APPROACH TO MIKUSINSKI OPERATIONAL CALCULUS
OKAMOTO, S
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1978, 54 (10) : 303 - 308
[7] Mikusinski's operational calculus for general conjugated fractional derivatives
Fernandez, Arran
[J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2023, 29 (01):
[8] Solving Prabhakar differential equations using Mikusinski's operational calculus
Rani, Noosheza
Fernandez, Arran
[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (03):
[9] An application of the Mikusinski operational calculus in the theory of controllability
Kierat, W
Skornik, K
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1998, 7 (1-2) : 159 - 162
[10] ON TYPE-II CONVERGENCE IN THE MIKUSINSKI OPERATIONAL CALCULUS
BURZYK, J
[J]. STUDIA MATHEMATICA, 1984, 77 (01) : 17 - 27

← 1 2 3 4 5 →