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Inspired by the recent work Sahin and Agha gave recursion formulas for $mathcal{G}_{1}$ and $mathcal{G}_{2}$ Horn hypergeometric functions cite{saa}. The object of work is to establish several new recursion relations, relevant differential recursion formulas, new integral operators, infinite summations and interesting results for Horns hypergeometric functions $mathcal{G}_{1}$, $mathcal{G}_{2}$ and $mathcal{G}_{3}$.
We report consistent results for $Gamma(h rightarrow gamma gamma)$, $sigma(mathcal{G} ,mathcal{G}rightarrow h)$ and $Gamma(h rightarrow mathcal{G} ,mathcal{G})$ in the Standard Model Effective Field Theory (SMEFT) perturbing the SM by corrections $ma
The aim of this work is to demonstrate various an interesting recursion formulas, differential and integral operators, integration formulas, and infinite summation for each of Horns hypergeometric functions $mathrm{H}_{1}$, $mathrm{H}_{2}$, $mathrm{H
We show some of the conjectures of Pappas and Rapoport concerning the moduli stack of $mathcal{G}$-torsors on a curve C, where $mathcal{G}$ is a semisimple Bruhat-Tits group scheme on C. In particular we prove the analog of the uniformization theorem
We introduce a novel co-learning paradigm for manifolds naturally equipped with a group action, motivated by recent developments on learning a manifold from attached fibre bundle structures. We utilize a representation theoretic mechanism that canoni
This is Part IV of a thematic series currently consisting of a monograph and four essays. This essay examines the form of induced representations of locally p-adic Lie groups G which is appropriate for the abelian category of ${mathcal M}_{c}(G)$-adm