Search Results - "HYPERGEOMETRIC functions"

On Generalized Mittag–Leffler‐Type Functions of Two Variables.

Authors: Hasanov, Anvar Karimov, Erkinjon

Source: Mathematical Methods in the Applied Sciences. 11/30/2025, Vol. 48 Issue 17, p15661-15670. 10p.

Subject Terms: *HYPERGEOMETRIC functions, *PARTIAL differential equations, *INTEGRALS, *LAPLACE transformation, *MATHEMATICAL functions

On the Application of a Hypergeometric Identity to Generate Generalized Hypergeometric Reduction Formulas.

Authors: González-Santander, Juan Luis¹ (AUTHOR)

Source: Axioms (2075-1680). Nov2025, Vol. 14 Issue 11, p847. 19p.

Subject Terms: *HYPERGEOMETRIC functions, *MATHEMATICAL formulas, *MATHEMATICAL functions, *RECURSIVE functions, *MATHEMATICAL proofs

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An integral representation of the Gauss hypergeometric functions and its applications.

Authors: Qi, Feng¹ (AUTHOR) qifeng618@gmail.com

Source: Analysis (0174-4747). Nov2025, Vol. 45 Issue 4, p279-290. 12p.

Subject Terms: *HYPERGEOMETRIC functions, *INTEGRAL representations, *COMBINATORICS, *MATHEMATICAL functions, *TANGENT function, *MATHEMATICAL analysis, *HYPERGEOMETRIC series

A relation between the Mordell–Tornheim multiple Dirichlet series and the confluent hypergeometric function.

Authors: Toma, Yuichiro¹ (AUTHOR) m20034y@math.nagoya-u.ac.jp

Source: International Journal of Number Theory. Oct2025, Vol. 21 Issue 9, p2171-2183. 13p.

Subject Terms: *DIRICHLET series, *HYPERGEOMETRIC functions, *MATHEMATICS, *FUNCTIONAL equations, *L-functions, *ANALYTIC number theory, *MELLIN transform

On Extensions of Extended Beta and Gauss Hypergeometric Functions with Their Applications.

Authors: Kulib, M. A. H. Mohsen, F. B. F.

Source: Journal of Science & Technology (1607-2073). 2025, Vol. 30 Issue 5, p38-43. 6p.

Subject Terms: *BETA functions, *HYPERGEOMETRIC functions, *SPECIAL functions, *MATHEMATICAL formulas, *INTEGRALS, *HYPERGEOMETRIC series

Hypergeometric accelerations with shifted indices.

Authors: Campbell, J. M.¹ (AUTHOR) jmaxwellcampbell@gmail.com

Source: Journal of Difference Equations & Applications. Sep2025, Vol. 31 Issue 9, p1169-1192. 24p.

Subject Terms: *HYPERGEOMETRIC functions, *MATHEMATICAL series, *DIFFERENCE equations, *ACCELERATION measurements

Extended von Bertalanffy Equation in Solow Growth Modelling.

Authors: Bargellini, Antonio E. Ritelli, Daniele Spaletta, Giulia

Source: Algorithms. Sep2025, Vol. 18 Issue 9, p565. 15p.

Subject Terms: *HYPERGEOMETRIC functions, *MATHEMATICAL models, *ECONOMIC expansion, *ECONOMIC seasonal variations, *COMPUTER simulation, *SENSITIVITY analysis

On the Algebraic Independence of the Values of Functions That Are Certain Integrals Involving the 1 F 1 (1; λ + 1; z) Hypergeometric Function †.

Authors: Gorelov, Vasily Voronov, Gennady

Source: Axioms (2075-1680). Aug2025, Vol. 14 Issue 8, p572. 12p.

Subject Terms: *HYPERGEOMETRIC functions, *INTEGRALS, *FUNCTIONALS, *MATHEMATICS, *INDEPENDENCE (Mathematics), *EXPONENTIAL functions

Unified finite integrals involving multivariable 퐴-functions and hypergeometric functions.

Authors: Kumar, Dinesh Ayant, Frédéric

Source: Analysis (0174-4747). Aug2025, Vol. 45 Issue 3, p161-169. 9p.

Subject Terms: *HYPERGEOMETRIC functions, *DEFINITE integrals, *MATHEMATICS theorems, *MATHEMATICS, *VECTOR valued functions

A unified approach to hypergeometric class functions.

Authors: Dereziński, J.¹ (AUTHOR) jan.derezinski@fuw.edu.pl

Source: Journal of Mathematical Physics. Aug2025, Vol. 66 Issue 8, p1-38. 38p.

Subject Terms: *HYPERGEOMETRIC functions, *LIE algebras, *MATHEMATICAL symmetry, *INTEGRAL representations, *ORTHOGONAL functions, *POWER series, *DIFFERENTIAL operators, *MATHEMATICAL functions

Truncation Error Bounds for Branched Continued Fraction Expansions of Some Appell's Hypergeometric Functions F 2.

Authors: Dmytryshyn, Roman¹ (AUTHOR)

Source: Symmetry (20738994). Aug2025, Vol. 17 Issue 8, p1204. 15p.

Subject Terms: *HYPERGEOMETRIC functions, *CONTINUED fractions, *APPROXIMATION error, *SPECIAL functions, *APPROXIMATION theory, *HYPERGEOMETRIC series, *MATHEMATICAL analysis

Recurrence relations of Maclaurin series coefficients involving hypergeometric functions with applications.

Authors: Yang, Zhen-Hang¹ (AUTHOR)

Source: Proceedings of the American Mathematical Society. Aug2025, Vol. 153 Issue 8, p3513-3527. 15p.

Subject Terms: *HYPERGEOMETRIC functions, *HYPERGEOMETRIC series

Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains.

Authors: Liu, Fan Wang, Rui Yang, Jie et al.

Source: Journal of High Energy Physics. Aug2025, Vol. 2025 Issue 8, p1-31. 31p.

Subject Terms: *HYPERGEOMETRIC functions, *LAPLACE transformation, *HECKE algebras, *INTEGRAL functions, *POLYNOMIALS

Hypergeometric Functions as Activation Functions: The Particular Case of Bessel-Type Functions.

Authors: Vieira, Nelson Freitas, Felipe Figueiredo, Roberto et al.

Source: Mathematics (2227-7390). Jul2025, Vol. 13 Issue 14, p2232. 16p.

Subject Terms: *HYPERGEOMETRIC functions, *BESSEL functions, *COMPUTER performance, *ARTIFICIAL neural networks, *MACHINE learning

Investigation for the pRq-hypergeometric matrix functions and associated properties.

Authors: Bajpai, Saurabh Verma, Ashish

Source: Nonlinear Studies. 2025, Vol. 32 Issue 3, p1115-1128. 14p.

Subject Terms: *MATRIX functions, *HYPERGEOMETRIC functions, *INTEGRAL representations, *CALCULUS

Generalized Extended Confluent, Whittaker k-Functions and Their Properties.

Authors: Haider Shah, Syed Ali Shah, Mujahid Hussain Vivas-Cortez, Miguel et al.

Source: European Journal of Pure & Applied Mathematics. Jul2025, Vol. 18 Issue 3, p1-23. 23p.

Subject Terms: *WHITTAKER functions, *HYPERGEOMETRIC functions, *LAPLACE transformation, *MELLIN transform, *FRACTIONAL integrals, *MATHEMATICS, *HANKEL functions

Generalized Extension of Watson's theorem for the Series 3F2(1).

Authors: Awad, Mohamed M. Rakha, Medhat A. Mohammed, Asmaa O.

Source: European Journal of Pure & Applied Mathematics. Jul2025, Vol. 18 Issue 3, p1-15. 15p.

Subject Terms: *HYPERGEOMETRIC functions, *HYPERGEOMETRIC series, *MATHEMATICS, *MATHEMATICAL physics

The last-success stopping problem with random observation times: The last-success stopping problem...: A. Derbazi, Z. Derbazi.

Authors: Gnedin, Alexander Derbazi, Zakaria

Source: Mathematical Methods of Operations Research. Feb2025, Vol. 101 Issue 1, p1-27. 27p.

Subject Terms: *PROBABILITY theory, POISSON processes, HYPERGEOMETRIC functions, GAUSSIAN function, SUCCESS

Integral and Hypergeometric Representations for Multiple Orthogonal Polynomials.

Authors: Branquinho, Amílcar Díaz, Juan E F Foulquié-Moreno, Ana et al.

Source: IMRN: International Mathematics Research Notices. Jun2025, Vol. 2025 Issue 12, p1-22. 22p.

Subject Terms: *ORTHOGONAL polynomials, *HYPERGEOMETRIC functions, *MELLIN transform, *MATHEMATICAL complex analysis, *INTEGRAL representations, *LAGUERRE polynomials, *JACOBI polynomials

On the Bifurcation Behavior of Decoupled Systems of Difference Equations.

Authors: Al-Ashhab, Saleem Alameer, A.

Source: Axioms (2075-1680). Jun2025, Vol. 14 Issue 6, p416. 15p.

Subject Terms: *DIFFERENCE equations, *HYPERGEOMETRIC functions, *RESEARCH personnel, *COMPUTERS