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12 papers · 1 filter
A generalization of the Erdős-Ko-Rado Theorem
Gábor Hegedüs
Our main result is a new upper bound for the size of k-uniform, L-intersecting families of sets, where L contains only positive integers. We characterize extremal families in this…
A Bollobás-type theorem for affine subspaces
Gábor Hegedüs
Let denote the -dimensional affine space over the finite field . We prove here a Bollobás-type upper bound in the case of the set of affine subspaces. We give a…
Bounds for the product of modified Bessel functions
Árpád Baricz, Dragana Jankov Maširević, Saminathan Ponnusamy +1
In this note our aim is to present some monotonicity properties of the product of modified Bessel functions of first and second kind. Certain bounds for the product of modified Bes…
Feynman integral in and complex expansion of
Mykola A. Shpot, Tibor K. Pogány
Closed form expressions are proposed for the Feynman integral $$ I_{D, m}(p,q) = \int\frac{d^my}{(2π)^m}\int\frac{d^Dx}{(2π)^D} \frac1{(x-p/2)^2+(y-q/2)^4} \frac1{(x+p/2)^2+(y+q/2)…
Novel Zagreb Indices-Based Inequalities with Particular Regard to Semiregular and Generalized Semiregular Graphs
Tamás Réti, Imre Felde
Topological relations between three degree-based invariants of a connected graph G are investigated. We present novel inequalities including M1(G), M2(G) and F(G), and show that in…
From the Fundamental Theorem of Algebra to Kempe's Universality Theorem
Gábor Hegedüs, Zijia Li, Josef Schicho +1
This article provides a gentle introduction for a general mathematical audience to the factorization theory of motion polynomials and its application in mechanism science. This the…