Solutions of k-Hypergeometric Differential Equations

被引:16
|
作者
Mubeen, Shahid [1 ]
Naz, Mammona [1 ]
Rehman, Abdur [1 ]
Rahman, Gauhar [1 ]
机构
[1] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
关键词
D O I
10.1155/2014/128787
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We solve the second-order linear differential equation called the k-hypergeometric differential equation by using Frobenius method around all its regular singularities. At each singularity, we find 8 solutions corresponding to the different cases for parameters and modified our solutions accordingly.
引用
收藏
页数:13
相关论文
共 50 条
  • [1] A NOTE ON K-HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
    Mubeen, Shahid
    Naz, Mammona
    Rahman, Gauhar
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2013, 4 (03): : 38 - 43
  • [2] k-Hypergeometric Series Solutions to One Type of Non-Homogeneous k-Hypergeometric Equations
    Li, Shengfeng
    Dong, Yi
    SYMMETRY-BASEL, 2019, 11 (02):
  • [3] Discrete fractional solutions to the k-hypergeometric differential equation
    Yilmazer, Resat
    Ali, Karmina
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (09) : 7614 - 7621
  • [4] Extended Riemann Integral Equations Involving Generalized k-hypergeometric Functions
    Nadir, Aneela
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2022, 54 (03): : 213 - 220
  • [5] SOME RESULTS ON k-HYPERGEOMETRIC FUNCTION
    Mittal, E.
    Joshi, S.
    Suthar, D. L.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (04): : 1480 - 1489
  • [6] Study of Generalized k-hypergeometric Functions
    Ali, Asad
    Iqbal, Muhammad Zafar
    Iqbal, Taswar
    Hadir, Maria
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2021, 16 (01): : 379 - 388
  • [7] INTEGRAL REPRESENTATION OF SOME BASIC K-HYPERGEOMETRIC FUNCTIONS
    Ali, Asad
    Iqbal, Muhammad Zafar
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (1-2): : 205 - 213
  • [8] Certain fractional formulas of the extended k-hypergeometric functions
    Abdalla, Mohamed
    Boulaaras, Salah
    Akel, Mohamed
    Idris, Sahar Ahmed
    Jain, Shilpi
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [9] Certain fractional formulas of the extended k-hypergeometric functions
    Mohamed Abdalla
    Salah Boulaaras
    Mohamed Akel
    Sahar Ahmed Idris
    Shilpi Jain
    Advances in Difference Equations, 2021
  • [10] Extended Conformable K-Hypergeometric Function and Its Application
    Qayyum, Maham Abdul
    Dhiaa, Aya Mohammed
    Mahboob, Abid
    Rasheed, Muhammad Waheed
    Alameri, Abdu
    ADVANCES IN MATHEMATICAL PHYSICS, 2024, 2024