Neumann system and hyperelliptic functions.
New upper bounds for Mathieu-type series.
Note on Kiepert's -L-equations, in the Transformation of Elliptic Functions
Note on -Nasybullin's lemma associated with the modified -adic -Euler measure.
Note on the -extension of Barnes' type multiple Euler polynomials.
Note on the theory of Elliptic Integrals
Note sur quelques intégrales pseudo-elliptiques
Notes on double inequalities of Mathieu's series.
Numerical Results for the Generalized Mittag-Leffler Function
Mathematics Subject Classification: 33E12, 33FXX PACS (Physics Abstracts Classification Scheme): 02.30.Gp, 02.60.GfResults of extensive calculations for the generalized Mittag-Leffler function E0.8,0.9(z) are presented in the region −8 ≤ Re z ≤ 5 and −10 ≤ Im z ≤ 10 of the complex plane. This function is related to the eigenfunction of a fractional derivative of order α = 0.8 and type β = 0.5.
Numeric-analytical construction of Mathieu functions
In this paper we present an iterative algorithm for the construction of Mathieu functions of any order in the form of Fourier series (practically, polynomials), and also the corresponding Quick-BASIC program for realization of this algorithm with numerical values of the parameter.