INEQUALITIES OF EXTENDED (p, q)-BETA AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

被引：0
|
作者：
Mubeen, Shahid [1 ]
Nisar, Kottakkaran Sooppy [2 ]
Rahman, Gauhar [3 ]
Arshad, Muhammad [4 ]
机构：
[1] Univ Sargodha, Dept Math, Sargodha, Pakistan
[2] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia
[3] Shaheed Benazir Bhutto Univ, Dept Math, Upper Dir, Khyber Pakhtoon, Pakistan
[4] Int Islamic Univ, Dept Math, Islamabad, Pakistan
来源：
HONAM MATHEMATICAL JOURNAL | 2019年 / 41卷 / 04期
关键词：
Beta function; Extended hypergeometric functions; Turan-type inequalities; log-convexity; GAMMA-FUNCTIONS; BETA;
D O I：
10.5831/HMJ.2019.41.4.745
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish the log convexity and Turan type inequalities of extended (p, q)-beta functions. Likewise, we present the log-convexity, the monotonicity and Turan type inequalities for extended (p, q)-confluent hypergeometric function by utilizing the inequalities of extended (p, q)-beta functions.
引用
收藏
页码：745 / 756
页数：12
相关论文
共 50 条
  • [41] Bernoulli numbers and confluent hypergeometric functions
    Dilcher, K
    NUMBER THEORY FOR THE MILLENNIUM I, 2002, : 343 - 363
  • [42] ZEROS OF CERTAIN CONFLUENT HYPERGEOMETRIC FUNCTIONS
    WYNN, P
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 40 (01) : 173 - 182
  • [43] THE EVALUATION OF THE BASIC CONFLUENT HYPERGEOMETRIC FUNCTIONS
    SLATER, LJ
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1954, 50 (03): : 404 - 413
  • [44] On the Nevanlinna characteristic of confluent hypergeometric functions
    Luo, Xu-Dan
    Lin, Wei-Chuan
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (02) : 200 - 214
  • [45] ON SOME NEW Pδ-TRANSFORMS OF KUMMER'S CONFLUENT HYPERGEOMETRIC FUNCTIONS
    Parmar, Rakesh K.
    Rohira, V
    Rathie, Arjun K.
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2019, 34 (02): : 373 - 380
  • [46] Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function
    Nisar, Kottakkaran Sooppy
    Qi, Feng
    Rahman, Gauhar
    Mubeen, Shahid
    Arshad, Muhammad
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [47] A novel Kind of the multi-index Beta, Gauss, and confluent hypergeometric functions
    Ali, Musharraf
    Ghayasuddin, Mohd
    Khan, Waseem A.
    Nisar, Kottakkaran Sooppy
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 23 (02): : 145 - 154
  • [48] Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function
    Kottakkaran Sooppy Nisar
    Feng Qi
    Gauhar Rahman
    Shahid Mubeen
    Muhammad Arshad
    Journal of Inequalities and Applications, 2018
  • [49] INEQUALITIES FOR HYPERGEOMETRIC FUNCTIONS
    ERBER, T
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1960, 4 (04) : 341 - 351
  • [50] INEQUALITIES FOR HYPERGEOMETRIC FUNCTIONS
    BUSCHMAN, RG
    MATHEMATICS OF COMPUTATION, 1976, 30 (134) : 303 - 305
12345