AbstractA first kind Fredholm integral equation with nondegenerate kernel is given, which particular solution is the Bessel function of the first kind. This equation is solved by means of Mellin transform pair
In this paper we investigate the composition of a multidimensional generalized Erdélyi-Kober operato...
AbstractRecently Pogány and Süli (Proc. Amer. Math. Soc. 137 (7) (2009) 2363–2368) derived a closed-...
AbstractWe first generalize the results in Tan and Zhou (2005) [2] that a Lauricella function FD(a,b...
A first kind Fredholm integral equation with nondegenerate kernel is given, which particular soluti...
AbstractIt is shown that an integral representation for the extension of a general Hurwitz–Lerch zet...
AbstractIntegral expression is deduced for the series S(r,μ,ν,a)=∑n=1∞2F1ν−μ+12,ν−μ2+1;ν+1;−r2a(n)2a...
New index transforms are investigated, which contain as the kernel products of the Bessel and modifi...
New index transforms, involving the real part of the modified Bessel function of the first kind as t...
AbstractThe transformation formulas of Ramanujan, Hardy, Koshliakov and Ferrar are unified, in the s...
AbstractThis paper is devoted to the study of four integral operators that are basic generalizations...
AbstractThis note presents selected values of the class of integrals∫0∞f(x)ηn(ix)dx
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using inte...
Motivated by several generalizations of the well–known Mathieu series, the main object of this paper...
AbstractIn this note integrals of the typeIij(t;k1,k2,k3)=∫0tek3τρi(τ;k1)ρj(t−τ;k2)dτ,i,j=0,1,withρ0...
AbstractWe show that the use of generalized multivariable forms of Hermite polynomials provide a use...
In this paper we investigate the composition of a multidimensional generalized Erdélyi-Kober operato...
AbstractRecently Pogány and Süli (Proc. Amer. Math. Soc. 137 (7) (2009) 2363–2368) derived a closed-...
AbstractWe first generalize the results in Tan and Zhou (2005) [2] that a Lauricella function FD(a,b...
A first kind Fredholm integral equation with nondegenerate kernel is given, which particular soluti...
AbstractIt is shown that an integral representation for the extension of a general Hurwitz–Lerch zet...
AbstractIntegral expression is deduced for the series S(r,μ,ν,a)=∑n=1∞2F1ν−μ+12,ν−μ2+1;ν+1;−r2a(n)2a...
New index transforms are investigated, which contain as the kernel products of the Bessel and modifi...
New index transforms, involving the real part of the modified Bessel function of the first kind as t...
AbstractThe transformation formulas of Ramanujan, Hardy, Koshliakov and Ferrar are unified, in the s...
AbstractThis paper is devoted to the study of four integral operators that are basic generalizations...
AbstractThis note presents selected values of the class of integrals∫0∞f(x)ηn(ix)dx
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using inte...
Motivated by several generalizations of the well–known Mathieu series, the main object of this paper...
AbstractIn this note integrals of the typeIij(t;k1,k2,k3)=∫0tek3τρi(τ;k1)ρj(t−τ;k2)dτ,i,j=0,1,withρ0...
AbstractWe show that the use of generalized multivariable forms of Hermite polynomials provide a use...
In this paper we investigate the composition of a multidimensional generalized Erdélyi-Kober operato...
AbstractRecently Pogány and Süli (Proc. Amer. Math. Soc. 137 (7) (2009) 2363–2368) derived a closed-...
AbstractWe first generalize the results in Tan and Zhou (2005) [2] that a Lauricella function FD(a,b...
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