云南高校图书馆联盟文献共享服务平台- HYPERGEOMETRIC

HYPERGEOMETRIC: 作品数：42被引量：19H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关机构：南开大学更多>>; 相关期刊：《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Open Journal of Statistics》《Analysis in Theory and Applications》更多>>; 相关基金：国家自然科学基金中国科学院科研项目福建省自然科学基金北京市自然科学基金更多>>

Some Summation Theorems for Truncated Clausen Series and Applications: 《Analysis in Theory and Applications》2023年第3期244-259,共16页M.I.Qureshi Saima Jabee Dilshad Ahamad; The main aim of this paper is to derive some new summation theorems for terminating and truncated Clausen’s hypergeometric series with unit argument,when one numerator parameter and one denominator parameter are nega...; 关键词：Watson summation theorem Whipple summation theorem Dixon summation theorem Saalschütz summation theorem Truncated series Hypergeometric summation theorems Mellin transforms

Impacts of low-order aberrations on capacity of orbital-angular-momentum quantum states: 《Communications in Theoretical Physics》2023年第5期97-103,共7页Zheng-Da Hu Jicheng Wang Yun Zhu Mengmeng Li Sergei Khakhomov Igor Semchenko; Project supported by the National Key Research and Development Program of China(Grant No.2022YFE0122300);the National Natural Science Foundation of China(Grant Nos.61871202 and 11811530052); We use Hypergeometric Gaussian-II(HyGG-II)modes to investigate the impacts of non-Kolmogorov atmospheric turbulence on the Holevo channel capacity of a quantum communication scheme.The capacity of HyGG-II modes can be...; 关键词：atmospheric turbulence orbital angular momentum hypergeometric-Gaussian-II beam Holevo channel capacity

Double Series Identity and Some Laurent Type Hypergeometric Generating Relations: 《Journal of Mathematical Research with Applications》2020年第5期476-486,共11页Mohammad Idris QURESHI Mahvish ALI Dilshad AHAMAD; Dr.D.S.Kothari Post Doctoral Fellowship(Award letter No.F.4-2/2006(BSR)/MA/17-18/0025)awarded to Dr.Mahvish Ali by the University Grants Commission;Government of India,New Delhi。; The main aim of this article is to obtain certain Laurent type hypergeometric generating relations. Using a general double series identity, Laurent type generating functions(in terms of Kampede Feriet double hypergeom...; 关键词：generalized hypergeometric functions Laurent type generating relations double series identity

On the Complex Difference Equation of Hypergeometric Type on Non-uniform Lattices被引量：2: 《Acta Mathematica Sinica,English Series》2020年第5期487-511,共25页Jin Fa CHENG; Supported by the Fundamental Research Funds for the Central Universities of China(Grant No.20720150006);Natural Science Foundation of Fujian Province of China(Grant No.2016J01032)。; In this article,we obtain a new fundamental theorems for Nikiforov-Uvarov-Suslov complex difference equation of hypergeometric type by the method of Euler integral transformation,its expression is different from Suslo...; 关键词：Special function orthogonal POLYNOMIALS ADJOINT EQUATION difference EQUATION of HYPERGEOMETRIC TYPE non-uniform lattice

Asymptotic Approximation of the Eigenvalues and the Eigenfunctions for the Orr-Sommerfeld Equation on Infinite Intervals: 《Advances in Pure Mathematics》2019年第12期967-989,共23页Victor Nijimbere; Asymptotic eigenvalues and eigenfunctions for the Orr-Sommerfeld equation in two-dimensional and three-dimensional incompressible flows on an infinite domain and on a semi-infinite domain are obtained. Two configurati...; 关键词：EIGENVALUES EIGENFUNCTIONS Infinite Intervals WKB Methods Long-Wave LIMIT APPROXIMATION Short-Wave LIMIT APPROXIMATION Generalized HYPERGEOMETRIC Functions

Chebyshev Polynomials with Applications to Two-Dimensional Operators被引量：1: 《Advances in Pure Mathematics》2019年第12期990-1033,共44页Alfred Wünsche; A new application of Chebyshev polynomials of second kind Un(x) to functions of two-dimensional operators is derived and discussed. It is related to the Hamilton-Cayley identity for operators or matrices which allows ...; 关键词：HYPERGEOMETRIC Function JACOBI POLYNOMIALS Ultraspherical POLYNOMIALS Chebyshev POLYNOMIALS LEGENDRE POLYNOMIALS Hamilton-Cayley Identity Generating Functions FIBONACCI and Lucas Numbers Special LORENTZ Transformations Coordinate-Invariant Methods

Some Applications of the(f, g)-Inversion: 《Journal of Mathematical Research with Applications》2019年第5期441-452,共12页Yanping MU Xiaozhou TONG; Supported by the National Natural Science Foundation of China(Grant Nos.11471244; 11771330); We present three kinds of applications of the (f,g)-inversion due to Ma. By taking explicit functions and sequences in the (f,g)-inversion, we derive identities involving hypergeometric series and harmonic numbers. Th...; 关键词：matrix INVERSION (f g)-inversion HYPERGEOMETRIC SERIES basic HYPERGEOMETRIC SERIES q-differential OPERATOR

MONOTONICITY,CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS被引量：5: 《Acta Mathematica Scientia》2019年第5期1440-1450,共11页Miaokun WANG Wen ZHANG Yuming CHU; supported by the Natural Science Foundation of China(11701176,61673169,11301127,11626101,11601485);the Science and Technology Research Program of Zhejiang Educational Committee(Y201635325); We establish the monotonicity and convexity properties for several special functions involving the generalized elliptic integrals, and present some new analytic inequalities.; 关键词：Gaussian HYPERGEOMETRIC function generalized ELLIPTIC INTEGRALS CONVEXITY inequality

Torsional wave frequency in heterogeneous earth crust lying over dry sandy semi-infinite substratum: 《Applied Mathematics and Mechanics(English Edition)》2019年第10期1399-1412,共14页S.K.VISHWAKARMA R.KAUR T.R.PANIGRAHI; Project supported by the Early Career Research Award of New Delhi(No.ECR/2017/001185); The present study is carried out to investigate the transference of torsional surface waves in a heterogeneous anisotropic crust lying over a dry sandy half-space. The rigidities and densities as well as the initial s...; 关键词：HYPERGEOMETRIC FUNCTION Laguerre FUNCTION torsional wave inhomogeneity gravity initial stress SANDY medium

The Ore-Sato Theorem and Shift Exponents in the q-Difference Case被引量：2: 《Journal of Systems Science & Complexity》2019年第1期271-286,共16页DU Hao LI Ziming; supported by the National Natural Science Foundation of China under Grant Nos.11501552,11871067;supported by the National Natural Science Foundation of China under Grant No.11771433;the Fund of the Youth Innovation Promotion Association,CAS; The authors translate the main results in the paper entitled "Multiplicative Decomposition of Multivariate q-Hypergeometric Terms" from Chinese into English. The paper is written by Shaoshi Chen, Ruyong Feng, Guofeng ...; 关键词：Coboundary COCYCLE q-factorial TERM q-hypergeometric TERM

HYPERGEOMETRIC