AbstractIn this paper we use the exact expression for the integralI(a,b;r)≔∫0∞x2x4+2ax2+1rx2+1xb+1dxx2to give unifying proofs of several results in Classical Analyisis
Exact formulae are derived for certain integrals arising in the solution of potential problems by in...
AbstractIn this paper, we present some sharp bounds for complete elliptic integrals of the second ki...
AbstractTextA class of hyperelliptic integrals are expressed through hypergeometric functions, like ...
AbstractWe derive recurrence relationships for the evaluation of two integral transforms which are o...
In this paper, we prove that two integrals from Gradshteyn and Ryzhik (2014) [1] (namely, Eqs. 3.937...
AbstractA survey of properties of a sequence of coefficients appearing in the evaluation of a quarti...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
Haruki and Rassias [H. Haruki, T.M. Rassias, New integral representations for Bernoulli and Euler po...
We calculate some definite integrals which (up to now) computer algebra systems like Maple or Mathem...
AbstractWe provide a closed-form expression for the integral N0,4(a;m):=∫0∞dz(z4+2az2+1)m+1 where m ...
AbstractComplex-variable methods are used to obtain some error expansions for certain quadrature rul...
AbstractIn this paper, a new Picone-type identity for the quasilinear differential operator of the s...
AbstractThe authors propose a simple numerical method to approximate the solution of CSIE. The conve...
AbstractHaruki and Rassias [H. Haruki, T.M. Rassias, New integral representations for Bernoulli and ...
AbstractA recurrence relation is given for the integral in the title. Formulae which allow easy eval...
Exact formulae are derived for certain integrals arising in the solution of potential problems by in...
AbstractIn this paper, we present some sharp bounds for complete elliptic integrals of the second ki...
AbstractTextA class of hyperelliptic integrals are expressed through hypergeometric functions, like ...
AbstractWe derive recurrence relationships for the evaluation of two integral transforms which are o...
In this paper, we prove that two integrals from Gradshteyn and Ryzhik (2014) [1] (namely, Eqs. 3.937...
AbstractA survey of properties of a sequence of coefficients appearing in the evaluation of a quarti...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
Haruki and Rassias [H. Haruki, T.M. Rassias, New integral representations for Bernoulli and Euler po...
We calculate some definite integrals which (up to now) computer algebra systems like Maple or Mathem...
AbstractWe provide a closed-form expression for the integral N0,4(a;m):=∫0∞dz(z4+2az2+1)m+1 where m ...
AbstractComplex-variable methods are used to obtain some error expansions for certain quadrature rul...
AbstractIn this paper, a new Picone-type identity for the quasilinear differential operator of the s...
AbstractThe authors propose a simple numerical method to approximate the solution of CSIE. The conve...
AbstractHaruki and Rassias [H. Haruki, T.M. Rassias, New integral representations for Bernoulli and ...
AbstractA recurrence relation is given for the integral in the title. Formulae which allow easy eval...
Exact formulae are derived for certain integrals arising in the solution of potential problems by in...
AbstractIn this paper, we present some sharp bounds for complete elliptic integrals of the second ki...
AbstractTextA class of hyperelliptic integrals are expressed through hypergeometric functions, like ...