Schrödinger Equation and Oscillatory Hilbert Transforms of Second Degree.
Séries hypergéométriques multiples et polyzêtas
Nous décrivons un algorithme théorique et effectif permettant de démontrer que des séries et intégrales hypergéométriques multiples relativement générales se décomposent en combinaisons linéaires à coefficients rationnels de polyzêtas.
Some applications of a differential subordination.
Some Characterization of the -Gamma Function by Functional Equations. Nota I
In questo lavoro, suddiviso in una Nota I e in una Nota II, si estendono alle funzioni -gamma i classici risultati sulla determinazione univoca della funzione gamma tramite equazioni funzionali; si introduce poi una -generalizzazione di una funzione fattoriale intera, e se ne indicano le principali proprietà.
Some Characterization of the -Gamma Function by Functional Equations. Nota II
In questo lavoro, suddiviso in una Nota I e in una Nota II, si estendono alle funzioni -gamma i classici risultati sulla determinazione univoca della funzione gamma tramite equazioni funzionali; si introduce poi una -generalizzazione di una funzione fattoriale intera, e se ne indicano le principali proprietà.
Some characterizations of q-factorial functions.
Some characterizations of q-factorial functions.
Some Characterizations of the Gamma Function Involving the Notion of Complete Monotonicity.
Some Completely Monotonic Properties for the (p, g)-Gamma Function
MSC 2010: 33B15, 26A51, 26A48
Some conjectures on the zeros of approximates to the Riemann ≡-function and incomplete gamma functions
Riemann conjectured that all the zeros of the Riemann ≡-function are real, which is now known as the Riemann Hypothesis (RH). In this article we introduce the study of the zeros of the truncated sums ≡N(z) in Riemann’s uniformly convergent infinite series expansion of ≡(z) involving incomplete gamma functions. We conjecture that when the zeros of ≡N(z) in the first quadrant of the complex plane are listed by increasing real part, their imaginary parts are monotone nondecreasing. We show how this...
Some generalized inequalities involving the -gamma function.
Some inequalities connected with exponential function
Some inequalities for special functions.
Some inequalities for the gamma function.
Some Inequalities For The Gamma Function
Some inequalities for the -gamma function.
Some inequalities for the sine integral.
Some inequalities involving the gamma function.
Some inequalities of the incomplete gamma and related functions.
Some interesting series arising from the power series expansion of .