Results 51 to 60 of about 32,977 (163)
Sato-Tate distribution of <i>p</i>-adic hypergeometric functions. [PDF]
Res Number Theory, 2023 Pujahari S, Saikia N.
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Inequalities for hypergeometric functions [PDF]
Mathematics of Computation, 1976 The upper and lower bounds for the determinant of a dominant diagonal matrix have been used recently to obtain bounds on the classical orthogonal polynomials. Similar methods are used here on the hypergeometric functions of Gauss and of Kummer.
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Results in EngineeringThis work presents the development of parallel computing algorithms for special mathematical function used in fractional calculus. A systematic and step-by-step procedure is proposed for parallelization of computation of Gamma function, 1-, 2-, 3-, and 4-
Chaitanya S. Jage +2 more
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Computing Hypergeometric Functions Rigorously [PDF]
ACM Transactions on Mathematical Software, 2019 We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions 0 F 1 , 1 F 1 , 2 F 1 , and 2 F 0
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Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions
International Journal of Mathematics and Mathematical Sciences, 2015 Hypergeometric functions of matrix arguments occur frequently in multivariate statistical analysis. In this paper, we define and study extended forms of Gauss and confluent hypergeometric functions of matrix arguments and show that they occur naturally ...
Daya K. Nagar +2 more
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An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a "Weltkonstante"-or-how Ramanujan split temperatures. [PDF]
Ramanujan J, 2021 Faulhuber M.
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Some transformations and integral representations of horn's functions
Revista Técnica de la Facultad de Ingeniería, 2011 Â Horn gave the general definition of hypergeometric functions of two variables. There are thirty four hypergeometric functions of two variables of this type. Fourteen functions are complete and the remaining twenty are the confluente cases.
V. Kim Tuan, S. L. Kalla
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Advances in Difference Equations, 2018 Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab +2 more
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DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
Kyushu Journal of Mathematics, 2011 Gauss hypergeometric functions with a dihedral monodromy group can be expressed as elementary functions, since their hypergeometric equations can be transformed to Fuchsian equations with cyclic monodromy groups by a quadratic change of the argument variable.
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MathematicsA sequence of n trials from a finite population with no replacement is described by the hypergeometric distribution as the number of successes. Calculating the likelihood that factory-produced items would be defective is one of the most popular uses of ...
Tariq Al-Hawary +2 more
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