Titlebook: Analytic Number Theory, Approximation Theory, and Special Functions; In Honor of Hari M. Gradimir V. Milovanović,Michael Th. Rassias Book

铁塔等

carotid-bruit

Introduction to Discrete Calculusts and technique of real analysis, a multidimensional discrete Hilbert-type inequality with a best possible constant factor is given. The equivalent forms, two types of reverses, a more accurate inequality with parameters, as well as a strengthened version of Hardy-Hilbert’s inequality with Euler co

Mortal

Leo J. Grady,Jonathan R. Polimeniy conditions such that the special function . is monotonic, logarithmic convex, logarithmic concave, 3-log-convex, and 3-log-concave on ., where ., ., ., and . are real numbers satisfying (., .) ≠ (., .), (., .) ≠ (., .), . ≠ ., and . ≠ ..

不易燃

Vulnerary

https://doi.org/10.1007/978-981-19-7814-2In this overview we give a detailed discussion of power moments of .(.), when . lies on the “critical line” .. The survey includes early results, the mean square and mean fourth power, higher moments, conditional results and some open problems.

直言不讳

https://doi.org/10.1007/978-981-19-7814-2In this paper, we get explicit upper and lower bounds for .., where . are consecutive ordinates of non-trivial zeros . of the Riemann zeta function. Meanwhile, we obtain the asymptotic relation . as . → ..

共同时代

Deadpan

Springer Monographs in MathematicsThe .-Stirling numbers of both kinds are specializations of the complete or elementary symmetric functions. In this note, we use this fact to prove that the .-Stirling numbers can be expressed in terms of the .-binomial coefficients and vice versa.

地名表

Halfhearted

Jean Guex,Federico Galster,Øyvind HammerThe authors provide a survey of recent results in special functions of classical analysis and geometric function theory, in particular, the circular and hyperbolic functions, the gamma function, the elliptic integrals, the Gaussian hypergeometric function, power series, and mean values.