Results 41 to 50 of about 251,489 (270)

A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function [PDF]

Sahand Communications in Mathematical Analysis
The aim of the present investigation is to deal with integrals, which are connected with the extended generalized Mittag-Leffler function, Jacobi polynomial, and Bessel-Maitland function.
Nirmal Kumar Jangid, Sunil Joshi, Ekta Mittal   +2 more
doaj   +1 more source

On some new inequalities and fractional kinetic equations associated with extended gauss hypergeometric and confluent hypergeometric function

International Journal of Mathematics for Industry, 2023
Fractional kinetic equations are of immense importance in describing and solving numerous intriguing problems of physics and astrophysics. Inequalities are important topics in special functions.
Ankita Chandola, Rupakshi Mishra Pandey
doaj   +1 more source

Extensions of beta and related functions [PDF]

, 2022
In this paper, we introduce and investigate a new extension of the beta function by means of an integral operator involving a product of Bessel-Struve kernel functions.
Paris, Richard Bruce, Ali, Musharraf, Ghayasuddin, Mohd   +2 more
core   +1 more source

Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions

MethodsX
Special Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain.
Faten F. Abdulnabi, Hiba F. Al-Janaby, Firas Ghanim   +2 more
doaj   +1 more source

Euler Type Integrals and Integrals in Terms of Extended Beta Function [PDF]

, 2020
We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and ...
Subuhi Khan, Mustafa Walid Al-Saad
core  

Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function

Journal of New Theory, 2022
The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties ...
Umar Muhammad Abubakar
doaj   +1 more source

Hospitalization Through Families’ Eyes: Comparing Inpatient Care Quality for Children With Sickle Cell Disease and Cystic Fibrosis in Canada

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Sickle cell disease (SCD) is a chronic, inherited hemoglobinopathy that requires frequent hospitalization for disease‐related complications. Canadian data on inpatient care is limited. This study compared caregiver‐reported hospital experiences of children with SCD to those with cystic fibrosis (CF), a chronic, autosomal recessive ...
Hailey M. Zwicker, Kyle Kemp, Perri Tutelman, Sharon H. J. Hou, Paul Fairie, Maria Santana, Gregory M. T. Guilcher, Taryn Fay‐McClymont, Glenda Bendiak, Wendy Pelletier, Nicola Wright, Fiona Schulte   +11 more
wiley   +1 more source

Exploring Protein Sequence Space Using Computationally Directed Recombination [PDF]

, 2006
Evolution has provided us with many protein sequences. However, these sequences represent a very small fraction of the possible sequences. In the laboratory, scientists have explored areas of sequence space not represented by natural proteins both to ...
Meyer, Michelle Margaret
core   +1 more source

Time Toxicity in Wilms Tumor: Quantifying the Burden of Healthcare Interaction in the First Year After Diagnosis

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Wilms tumor (WT) treatment imposes a significant time burden on patients and their families. Time toxicity is a patient‐centered metric that quantifies the burden of healthcare interaction. We sought to define time toxicity in the first year after diagnosis of WT and hypothesized that it would increase as tumor stage and treatment ...
Caleb Q. Ashbrook, Veerain Gupta, Nicholas J. Clark, Vijay Rings, Lauren E. Corona, Douglass B. Clayton, Daniel J. Benedetti   +6 more
wiley   +1 more source

Heterogeneity in the Global Practice of Central Nervous System Staging in Pediatric Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási, Bernadett Borbála Huszti, Gábor Barna, Marko Kavcic, Janez Jazbec, Lennart Lenk, Vera Münch, Sophia Polychronopoulou, Ágnes Márk, Maria Thastrup, Lüder H. Meyer, Kjeld Schmiegelow, Cornelia Eckert, Christina Halsey, Dániel J. Erdélyi   +14 more
wiley   +1 more source