Results 21 to 30 of about 47,854 (237)
$q$-Laguerre polynomials and big $q$-Bessel functions and their orthogonality relations [PDF]
Methods and Applications of Analysis, 1999 20 ...
CICCOLI, Nicola +2 more
openaire +7 more sources
Starlike and convexity properties of q-Bessel-Struve functions
Demonstratio Mathematica, 2022 This paper introduces three different normalization associated with the second and third q-Bessel-Struve functions. We use Hadamard factorizations to determine the radii of starlike and convexity of these functions.
Oraby Karima M., Mansour Zeinab S. I.
doaj +1 more source
On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications
Fractal and Fractional, 2023 This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were
Soubhagya Kumar Sahoo +4 more
doaj +1 more source
Some results for Laplace-type integral operator in quantum calculus
Advances in Difference Equations, 2018 In the present article, we wish to discuss q-analogues of Laplace-type integrals on diverse types of q-special functions involving Fox’s Hq $H_{q}$-functions.
Shrideh K. Q. Al-Omari +2 more
doaj +1 more source
Indefinite integrals involving Bessel functions [PDF]
, 1967 Expressions are derived for the indefinite integrals, [equations] where C0(ar)are zero order Bessel functions, Z0(Ar) are zero order modified Bessel functions and f(r) is a polynomial in r.
Peavy, B. A.
core +1 more source
Bounds and algorithms for the K-Bessel function of imaginary order [PDF]
, 2013 Using the paths of steepest descent, we prove precise bounds with numerical implied constants for the modified Bessel function of imaginary order and its first two derivatives with respect to the order.
Booker, Andrew R +5 more
core +1 more source
Generalized q-Bessel functions [PDF]
, 1994 An algebraic setting for a natural generalization of q-Bessel functions is provided. Many properties and formulas involving these functions are obtained and discussed.
Roberto Floreanini, Luc Vinet
core +1 more source
Generalised partition functions: inferences on phase space distributions [PDF]
Annales Geophysicae, 2016 It is demonstrated that the statistical mechanical partition function can be used to construct various different forms of phase space distributions. This indicates that its structure is not restricted to the Gibbs–Boltzmann factor prescription which ...
R. A. Treumann +2 more
doaj +1 more source
Journal of Function Spaces, 2022 Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson-type inequalities in terms of the first derivative is discussed. Here, some more inequalities for convexity as well as concavity are established. We expect that present
Jamshed Nasir +4 more
doaj +1 more source
ON PARTIAL SUMS OF NORMALIZED q-BESSEL FUNCTIONS [PDF]
, 2018 In the present investigation our main aim is to give lower bounds for the ratio of some normalized q-Bessel functions and their sequences of partial sums.
ORHAN, Halit, Artas, Ibrahim
core +1 more source