Results 121 to 130 of about 1,274,911 (326)

Parameterized Finite Binomial Sums

Mathematics
We offer intriguing new insights into parameterized finite binomial sums, revealing elegant identities such as ∑k=0,k≠nm+n(−1)kn−km+nk=(−1)nm+nn(Hm−Hn), where n,m are non-negative integers and Hn is the harmonic number. These formulas beautifully capture
Necdet Batır, Junesang Choi
doaj   +1 more source

Algorithm 221: Gamma functions [PDF]

, 1964
Walter Gautschi
openalex   +1 more source

On asymptotics of q-Gamma functions

Journal of Mathematical Analysis and Applications, 2008
10 ...
openaire   +3 more sources

Biophysical characterization and ion transport with cell‐based and proteoliposome reconstitution assays of invertebrate K+‐Cl− cotransporters

FEBS Open Bio, EarlyView.
The K+‐Cl− cotransporters (KCCs) facilitate the symport of ions across the plasma membrane. They participate in physiological processes including neuronal regulation. Here, we characterized KCCs from Drosophila and Hydra vulgaris. Comparative analyses of transporters provide insights into the mechanism of KCC ion transport, regulation, and evolution ...
Satoshi Fudo, Marina Verkhovskaya, Coralie Di Scala, Claudio Rivera, Tommi Kajander   +4 more
wiley   +1 more source

Exact Expressions for Kullback–Leibler Divergence for Univariate Distributions

Entropy
The Kullback–Leibler divergence (KL divergence) is a statistical measure that quantifies the difference between two probability distributions. Specifically, it assesses the amount of information that is lost when one distribution is used to approximate ...
Victor Nawa, Saralees Nadarajah
doaj   +1 more source

METABOLISM AND FUNCTION OF GAMMA GLOBULIN IN ALEUTIAN DISEASE OF MINK [PDF]

, 1965
David D. Porter, Frank J. Dixon, Austin E. Larsen   +2 more
openalex   +1 more source

An inequality for ratios of gamma functions

Journal of Mathematical Analysis and Applications, 2009
An inequality concerning ratios of gamma functions is proved. This answers a question of Guo and Qi (2003).
openaire   +3 more sources

Co‐overexpression of the caloric restriction‐induced mitochondrial factors PGC‐1α and MIPEP upregulates Phospho1 expression in adipocytes

FEBS Open Bio, EarlyView.
Caloric restriction that extends lifespan induces the expression of PGC‐1α and MIPEP in white adipose tissue. In this study, co‐overexpression of Pgc‐1α and Mipep upregulated the gene expression of PHOSPHO1. These findings provide new insights into mitochondria‐related mechanisms underlying the effects of caloric restriction in adipocytes.
Mamiko Ishimatsu, Kanari Taki, Asuka Hayami, Komachi Kato, Yuka Nozaki, Yuhei Mizunoe, Takumi Narita, Ryoichi Mori, Yoshikazu Higami, Masaki Kobayashi   +9 more
wiley   +1 more source

Sharp Estimates of Pochhammer’s Products

Mathematics
Sharp, asymptotic estimates of classical and generalized rising/falling Pochhammer’s products having positive arguments are presented on the basis of Stirling’s approximation formula for the Γ function.
Vito Lampret
doaj   +1 more source

Concerning Two Series for the Gamma Function [PDF]

, 1968
John W. Wrench
openalex   +1 more source