Results 1 to 6 of about 6 (6)
Independence polynomials and hypergeometric series
Bulletin of the London Mathematical Society, Volume 53, Issue 6, Page 1834-1848, December 2021., 2021 Abstract Let Γ be a simple graph and IΓ(x) its multivariate independence polynomial. The main result of this paper is the characterization of chordal graphs as the only Γ for which the power series expansion of IΓ−1(x) is Horn hypergeometric.
Danylo Radchenko +1 more
wiley +1 more source
K‐Bessel functions in two variables
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 14, Page 909-916, 2003., 2003 The Bessel‐Muirhead hypergeometric system (or 0F1‐system) in two variables (and three variables) is solved using symmetric series, with an explicit formula for coefficients, in order to express the K‐Bessel function as a linear combination of the J‐solutions. Limits of this method and suggestions for generalizations to a higher rank are discussed.
Hacen Dib
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Y‐function has emerged as a significant tool in generalized fractional calculus due to its ability to unify and extend numerous classical special functions and hypergeometric‐type functions. Applying the Marichev–Saigo–Maeda fractional integration and differentiation operators of any complex order to the Y‐function, this study establishes four ...
Engdasew Birhane +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.Integral formulas play an important part in solving complicated scientific and technical problems. With this in mind, this study creates three essential formulas. These formulas include the product of the multivariable Aleph function, the general class of Srivastava’s polynomials, the M‐series, and hypergeometric functions.
Alok Bhargava +3 more
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Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley +1 more source