A NOTE ON THE UNIFORM ASYMPTOTIC-EXPANSION OF INTEGRALS WITH COALESCING END-POINT AND SADDLE-POINTS

被引：5

作者：

LEUBNER, C ^{[1
]}

RITSCH, H ^{[1
]}

机构：

[1] UNIV INNSBRUCK, INST THEORET PHYS, A-6020 INNSBRUCK, AUSTRIA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1986年 / 19卷 / 03期

关键词：

D O I：

10.1088/0305-4470/19/3/016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：329 / 335

页数：7

共 12 条

[1] A NOTE ON UNIFORM ASYMPTOTIC-EXPANSION OF INCOMPLETE LAPLACE INTEGRALS
SONI, K
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1983, 14 (05) : 1015 - 1018
[2] ASYMPTOTIC-EXPANSION OF A CLASS OF INTEGRALS WITH MERGING POLE AND SADDLE-POINT
PODDUBNYI, GV
[J]. USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1982, 22 (05): : 28 - 37
[3] UNIFORM ASYMPTOTIC-EXPANSION OF AN INTEGRAL WITH A SADDLE-POINT, A POLE AND A BRANCH POINT
CIARKOWSKI, A
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1989, 426 (1871): : 273 - 286
[4] UNIFORM ASYMPTOTIC EXPANSIONS OF A CLASS OF INTEGRALS WITH FINITE END-POINTS OF INTEGRATION ON THE SAME PATH OF STEEPEST DESCENT AND WITH NEARBY SADDLE-POINTS
STEINACKER, U
LEUBNER, C
KALLA, SL
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1991, 35 (1-3) : 297 - 301
[5] THE UNIFORM ASYMPTOTIC SWALLOWTAIL APPROXIMATION - PRACTICAL METHODS FOR OSCILLATING INTEGRALS WITH 4 COALESCING SADDLE POINTS
CONNOR, JNL
CURTIS, PR
FARRELLY, D
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (02): : 283 - 310
[6] A UNIFORM ASYMPTOTIC-EXPANSION OF A TYPICAL DIFFRACTION INTEGRAL WITH MANY COALESCING SIMPLE POLE SINGULARITIES AND A 1ST-ORDER SADDLE-POINT
GENNARELLI, C
PALUMBO, L
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1984, 32 (10) : 1122 - 1124
[7] THE UNIFORM ASYMPTOTIC-EXPANSION OF A CLASS OF INTEGRALS RELATED TO CUMULATIVE DISTRIBUTION-FUNCTIONS
TEMME, NM
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1982, 13 (02) : 239 - 253
[8] EXPLICIT ASYMPTOTIC-EXPANSION OF FOURIER INTEGRALS WITH CERTAIN DEGENERATE CRITICAL-POINTS
DOSTAL, M
GAVEAU, B
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 305 (20): : 857 - 859
[9] The uniform asymptotic method "saddle point near an end point"revisited
Lopez, Jose L.
Pagola, Pedro J.
Palacios, Pablo
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 443
[10] INCOMPLETE LAPLACE INTEGRALS - UNIFORM ASYMPTOTIC-EXPANSION WITH APPLICATION TO THE INCOMPLETE BETA-FUNCTION
TEMME, NM
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1987, 18 (06) : 1638 - 1663

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