On the analytic extension of the Horn's hypergeometric function H4

被引：4
|
作者：
Dmytryshyn, R. [1 ]
Lutsiv, I. -A [1 ]
Dmytryshyn, M. [2 ]
机构：
[1] Vasyl Stefanyk Precarpathian Natl Univ, 57 Shevchenka Str, UA-76018 Ivano Frankivsk, Ukraine
[2] West Ukrainian Natl Univ, 11 Lvivska str, UA-46009 Ternopol, Ukraine
来源：
CARPATHIAN MATHEMATICAL PUBLICATIONS | 2024年 / 16卷 / 01期
关键词：
branched continued fraction; Horn hypergeometric function; approxima- tion by rational functions; convergence; analytic continuation; BRANCHED CONTINUED FRACTIONS;
D O I：
10.15330/cmp.16.1.32-39
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper establishes new convergence domains of branched continued fraction expansions of Horn's hypergeometric function H 4 with real and complex parameters. These domains enabled the PC method to establish the analytical extension of analytical functions to their expansions in the studied domains of convergence. A few examples are provided at the end to illustrate this.
引用
收藏
页码：32 / 39
页数：8
相关论文
共 50 条
  • [21] Subclasses of analytic functions associated with the generalized hypergeometric function
    Aouf, M. K.
    Darwish, H. E.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (03) : 356 - 366
  • [22] ANALYTIC REPRESENTATION OF THE GAUSS HYPERGEOMETRIC FUNCTION ON THE BANKS OF THE CUT
    TODOROV, PG
    DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1986, 39 (07): : 21 - 23
  • [23] Representation of Some Ratios of Horn's Hypergeometric Functions H7 by Continued Fractions
    Antonova, Tamara
    Dmytryshyn, Roman
    Kril, Pavlo
    Sharyn, Serhii
    AXIOMS, 2023, 12 (08)
  • [24] 大学H4
    郑皓月
    课堂内外创新作文(高中版), 2019, (10) : 43 - 43
  • [25] RECURSION FORMULAS FOR H1-H7 HORN HYPERGEOMETRIC FUNCTIONS
    Yadav, Sarasvati
    Rani, Geeta
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2023, 114 (128): : 81 - 90
  • [26] RENAL FUNCTION IN THE HISTAMINE H4 RECEPTOR (H4R) KNOCKOUT MOUSE
    Pini, A.
    Verta, R.
    Grange, C.
    Thurmond, R. L.
    Rosa, A. C.
    INFLAMMATION RESEARCH, 2018, 67 : S34 - S35
  • [27] The histamine H4 receptor and potential therapeutic uses for H4 ligands
    Jablonowski, JA
    Carruthers, NI
    Thurmond, RL
    MINI-REVIEWS IN MEDICINAL CHEMISTRY, 2004, 4 (09) : 993 - 1000
  • [28] A (p, v)-extension of Srivastava's triple hypergeometric function HB and its properties
    Dar, Showkat Ahmad
    Paris, R. B.
    ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS, 2021, 41 (02): : 113 - 122
  • [29] A (p, q)-extension of Srivastava's triple hypergeometric function HB and its properties
    Dar, S. A.
    Paris, R. B.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 348 : 237 - 245
  • [30] The Binding Landscapes of the H3/H4 and CENP-A/H4 Dimers
    Zhao, Haiqing
    Dalal, Yamini
    Papoian, Garegin A.
    BIOPHYSICAL JOURNAL, 2015, 108 (02) : 538A - 538A
12345