Some applications of hypergeometric shift operators.
Some applications of Legendre numbers.
Some applications of Saalschütz's theorem
Some bilateral generating functions for a class of generalized hypergeometric polynomials.
Some bilinear and bilateral relations for hyper-geometric functions of three variables.
Some bilinear and bilateral relations for hypergeometric functions of three variables
Some biorthogonal -polynomials in two variables.
Some bounding inequalities for the Jacobi and related functions.
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 computational formulas for -Nörlund numbers.
Some conjectures for Macdonald polynomials of type .
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 distortion inequalities associated with the fractional derivatives of analytic and univalent functions.
Some elliptic function identities
Some explicit values for ratios of theta-functions.