The properties, inequalities and numerical approximation of modified Bessel functions.
The zeros of as functions of order.
Theorems for double-index one-parameter Bessel functions.
Theorems on the Convergence of Series in Generalized Lommel-Wright Functions
Mathematics Subject Classification: 30B10, 30B30; 33C10, 33C20The classical Cauchy-Hadamard, Abel and Tauber theorems provide useful information on the convergence of the power series in complex plane. In this paper we prove analogous theorems for series in the generalized Lommel-Wright functions with 4 indices. Results for interesting special cases of series involving Bessel, Bessel-Maitland, Lommel and Struve functions, are derived.We provide also a new asymptotic formula for the generalized ...
Transcendentality of zeros of higher derivatives of functions involving Bessel functions.
Ueber die Besselschen Functionen und ihre Anwendung auf die Theorie der elektrischen Ströme.
Ueber die Convergenz der Entwicklung einer arbiträren Function f (x) nach den Bessel'schen Functionen ....................... die positiven Wurzeln der Gleichung .........= 0 vorstellen
Ueber die Cylinderfunctionen
Ueber die Darstellung der hypergeometrischen Reihe durch ein bestimmtes Integral
Ueber die Darstellung einer willkürlichen Function zweier Variablen durch Cylinderfunctionen
Ueber die Nullstellen der Bessel'schen Function
Ueber eine Darstellung willkürlicher Functionen durch Bessel'sche Functionen
Ueber eine mit den Bessel'schen Functionen verwandte Function
Ueber Reihenentwicklung nach Bessel'schen Functionen
Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk . We also state corollaries of our main results.
Zeros of smallest modulus of functions resembling exp(z).
Zur Theorie der Bessel'schen Functionen
Аналитическое продолжение по параметру функций Грина внешних краевых задач для двумерного уравнения Гельмгольца. I
К обобщенной задаче типа Стефана
О собственных функциях одного интегрального уравнения