BOUNDS FOR THE APPELL FUNCTION F2

被引：7
|
作者：
MOSES, HE [1 ]
PROSSER, RT [1 ]
机构：
[1] DARTMOUTH COLL,DEPT MATH,HANOVER,NH 03755
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 173卷 / 02期
关键词：
D O I：
10.1006/jmaa.1993.1074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The exact matrix elements for certain second order radiation processes in hydrogenic atoms can all be expressed in terms of a certain generalized hypergeometric function of two variables. In this paper we obtain bounds for this function as the two variables tend to the singular point z = 1 from the upper half plane. The bounds are shown to he uniform in the hypergeometric parameters in the ranges of interest, and may he used to bound the exact matrix elements in both the non-relativistic and relativistic cases. © 1993 Academic Press, Inc.
引用
收藏
页码：390 / 410
页数：21
相关论文
共 50 条
  • [31] Experimental moments of the nucleon structure function F2
    Osipenko, M.
    Melnitchouk, W.
    Simula, S.
    Kulagin, S.
    Ricco, G.
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2007, 174 : 23 - 26
  • [32] The proton structure function F2 in the resonance region
    Osipenko, M
    Ricco, G
    Taiuti, M
    Anghinolfi, M
    Battaglieri, M
    De Vita, R
    Ripani, M
    Simula, S
    Fedotov, G
    Golovach, E
    Ishkhanov, B
    Mokeev, V
    GDH 2002: PROCEEDINGS OF THE SECOND INTERNATIONAL SYMPOSIUM ON THE GERASIMOV-DRELL-HEARN SUM RULE AND THE SPIN STRUCTURE OF THE NUCLEON, 2003, : 265 - 270
  • [33] A twin for Euler's φ function in F2[-X]
    Duran Diaz, R.
    Munoz Masque, J.
    Peinado Dominguex, A.
    ARITHMETIC OF FINITE FIELDS, PROCEEDINGS, 2007, 4547 : 318 - +
  • [34] A MEASUREMENT OF THE PHOTON STRUCTURE-FUNCTION F2
    SASAKI, T
    PHYSICS LETTERS B, 1990, 252 (03) : 491 - 498
  • [35] [ ]f2×
    U’1cpU’
    电力建设, 2017, (04) : 88 - 95
  • [36] IMPURITY-INDUCED RAMAN SCATTERING IN CA F2, SR F2 AND BA F2
    CHASE, LL
    BRON, WE
    KUHNER, D
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1972, 17 (03): : 313 - &
  • [37] EFFICIENT TUNABLE LASERS UTILIZING F2 AND F2(+) COLOR CENTER IN LIF (F2) CRYSTALS
    BASIEV, TT
    KONYUSHKIN, VA
    MIROV, SB
    TERMIKIRTYCHEV, VV
    KVANTOVAYA ELEKTRONIKA, 1992, 19 (02): : 145 - 145
  • [38] CONNECTION FORMULAS RELATED WITH APPELL'S F2, HORN'S H2 AND OLSSON'S Fp FUNCTIONS
    Mimachi, Katsuhisa
    KYUSHU JOURNAL OF MATHEMATICS, 2020, 74 (01) : 15 - 42
  • [39] AN INFINITE SUMMATION FORMULA ASSOCIATED WITH APPELLS FUNCTION F2
    SRIVASTAVA, HM
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1969, 65 : 679 - +
  • [40] FIXED POINTS OF THE SUM OF DIVISORS FUNCTION ON F2[x]
    Gallardo, Luis H.
    GLASNIK MATEMATICKI, 2022, 57 (02) : 221 - 237
12345