A characterization of damped and undamped harmonic oscillations by a superposition property II.
A characterization of the Bernoulli and Euler polynomials
A new characteristic property of Mittag-Leffler functions and fractional cosine functions
A new characteristic property of the Mittag-Leffler function with 1 < α < 2 is deduced. Motivated by this property, a new notion, named α-order cosine function, is developed. It is proved that an α-order cosine function is associated with a solution operator of an α-order abstract Cauchy problem. Consequently, an α-order abstract Cauchy problem is well-posed if and only if its coefficient operator generates a unique α-order cosine function.
A new functional equation characterizing generalized Joukowski transformations.
A note on a paper of Franklin
A note on higher monotonicity properties of generalized Airy functions
A note on poroacoustic traveling waves under Darcy's law: Exact solutions
A mathematical analysis of poroacoustic traveling wave phenomena is presented. Assuming that the fluid phase satisfies the perfect gas law and that the drag offered by the porous matrix is described by Darcy's law, exact traveling wave solutions (TWS)s, as well as asymptotic/approximate expressions, are derived and examined. In particular, stability issues are addressed, shock and acceleration waves are shown to arise, and special/limiting cases are noted. Lastly, connections to other fields are...
A note on the accuracy of Ramanujan's approximative formula for the perimeter of an ellipse.
A note on the generalized Tricomi polynomials.
A note on the multiple twisted Carlitz's type -Bernoulli polynomials.
A note on the -Euler measures.
A Poster about the Recent History of Fractional Calculus
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development. The accompanying poster illustrates the major contributions during the period 1966-2010.
A probabilistic proof of the series representation of the Macdonald function with applications.
A representation of Sheffer polynomials in terms of a differential equation for their generating functions.
A representation of Sheffer polynomials in terms of a differential equation for their generating functions. (Short Communication).
A sixteenth-order polylogarithm ladder.
A system of differential equations for the Airy process.
A unified class of polynomials.
Addendum to the article: Polylogarithms in the field of omega (a root of a given cubic): Functional equations and ladders.
Algebraic Independence of the Values of Elliptic Function at Algebraic Points.