Results 31 to 40 of about 611,007 (264)

Optimal bounds for the generalized Euler–Mascheroni constant

Journal of Inequalities and Applications, 2018
We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.
Ti-Ren Huang, Bo-Wen Han, Xiao-Yan Ma, Yu-Ming Chu   +3 more
doaj   +1 more source

Construction Conditions and Applications of a Hilbert-Type Multiple Integral Inequality Involving Multivariable Upper Limit Functions and Higher-Order Partial Derivatives

Axioms
Hilbert-type inequalities derive from the classical Hilbert inequality, and their theoretical work has key applications not only in operator theory but also in various analytic disciplines.
Yong Hong, Qian Zhao, Zhihong Zhao
doaj   +1 more source

Two Approximation Formulas for Gamma Function with Monotonic Remainders

Mathematics
In this paper, two new approximation formulas with monotonic remainders for the gamma function have been presented. Also, we present some numerical comparisons between our new approximation formulas and some known ones, which demonstrate the superiority ...
Mansour Mahmoud, Hanan Almuashi
doaj   +1 more source

Some Inequalities of Extended Hypergeometric Functions

Mathematics, 2021
Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain, Rahul Goyal, Praveen Agarwal, Juan L. G. Guirao   +3 more
doaj   +1 more source

Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare low‐grade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan, Michael Abele, Calogero Virgone, Michaela Kuhlen, Ricardo Lopez‐Almarez, Tal Ben‐Ami, Ewa Bien, Maja Cesen, Malgorzata A. Krawczyk, Andrea Ferrari, Gianni Bisogno, Yves Reguerre, Dominik T. Schneider, Louise Galmiche, Jorg Fuchs, Sarah Braungart, Bilgehan Yalcin, Ines B. Brecht, Daniel Orbach   +18 more
wiley   +1 more source

Increasing property and logarithmic convexity of functions involving Dirichlet lambda function

Demonstratio Mathematica, 2023
In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
doaj   +1 more source

Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function

Mathematics, 2021
The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function.
Shilpi Jain, Rahul Goyal, Praveen Agarwal, Antonella Lupica, Clemente Cesarano   +4 more
doaj   +1 more source

Organoids in pediatric cancer research

FEBS Letters, EarlyView.
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley   +1 more source

Reciprocal control of viral infection and phosphoinositide dynamics

FEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

Regularized Integral Representations of the Reciprocal Gamma Function

Fractal and Fractional, 2019
This paper establishes a real integral representation of the reciprocal Gamma function in terms of a regularized hypersingular integral along the real line. A regularized complex representation along the Hankel path is derived.
Dimiter Prodanov
doaj   +1 more source