Results 101 to 110 of about 1,205,068 (305)

Harmonic Series of Convergence Ratio “1/4" with Cubic Central Binomial Coefficients

Axioms
We examine a useful hypergeometric transformation formula by means of the coefficient extraction method. A large class of “binomial/harmonic series” (of convergence ratio “1/4”) containing the cubic central binomial coefficients and harmonic numbers is ...
Chunli Li, Wenchang Chu
doaj   +1 more source

Binomial Series without Binomial Coefficients

, 2023
Nowadays, the growing complexity of mathematical and computational modelling demands the simplicity of mathematical equations for solving today’s scientific problems and challenges. Also, the computational science is a rapidly growing interdisciplinary area where science, computation, mathematics, and its collaboration use advanced computing ...
openaire   +1 more source

A variation on bisecting the binomial coefficients [PDF]

Discrete Applied Mathematics, 2018
14 pages, four tables, two ...
openaire   +2 more sources

One‐Year Healthcare Utilization and Costs After Emergency Department Encounters for Uncomplicated Appendicitis: A Statewide Observational Study

Annals of Gastroenterological Surgery, EarlyView.
ABSTRACT Objective Non‐operative management with antibiotics has emerged as an alternative to appendectomy for uncomplicated appendicitis. This study compared one‐year healthcare costs and utilization outcomes after operative versus non‐operative management of uncomplicated appendicitis using statewide administrative data.
Andrew C. Meltzer, Michael Makutonin, Taylor Gorak, Aditya Loganathan, Jack A. Meltzer, Avi Dor   +5 more
wiley   +1 more source

Gauss’ Second Theorem for ${}_{2}F_1(1/2)$-Series and Novel Harmonic Series Identities

Mathematics
Two summation theorems concerning the F12(1/2)-series due to Gauss and Bailey will be examined by employing the “coefficient extraction method”. Forty infinite series concerning harmonic numbers and binomial/multinomial coefficients will be evaluated in ...
Chunli Li, Wenchang Chu
doaj   +1 more source

The Geriatric Nutritional Risk Index Predicts Short‐ and Long‐Term Outcomes in the Oldest‐Old With Colorectal Cancer: A Multi‐Institutional Analysis of 225 Nonagenarians

Annals of Gastroenterological Surgery, EarlyView.
This multi‐institutional study evaluated the Geriatric Nutritional Risk Index (GNRI) in 225 nonagenarians undergoing surgical resection for colorectal cancer. A lower preoperative GNRI was independently associated with a longer hospital stay and poorer overall survival, even after adjustment for confounders using inverse‐probability‐of‐treatment ...
Toshiaki Toshima, Fuminori Teraishi, Satoe Takanaga, Toshiharu Mitsuhashi, Ryo Inada, Tsuyoshi Ohtani, Ryosuke Yoshida, Naoto Hori, Kaoru Shigemitsu, Sumiharu Yamamoto, Tetsushi Kubota, Yuka Okano, Tetsuji Nobuhisa, Fumitaka Taniguchi, Wataru Ishikawa, Ryohei Shoji, Tatsuo Matsuda, Tatsuo Umeoka, Toshiyoshi Fujiwara, The Setouchi Colorectal Neoplasm Registration Study Group Collaborators   +19 more
wiley   +1 more source

Generating Functions for Binomial Series Involving Harmonic-like Numbers

Mathematics
By employing the coefficient extraction method, a class of binomial series involving harmonic numbers will be reviewed through three hypergeometric F12(y2)-series.
Chunli Li, Wenchang Chu
doaj   +1 more source

Factors of alternating convolution of the Gessel numbers [PDF]

Notes on Number Theory and Discrete Mathematics
The Gessel number P(n,r) is the number of lattice paths in the plane with (1,0) and (0,1) steps from (0,0) to (n+r, n+r-1) that never touch any of the points from the set {(x,x)∈ℤ²:x≥r}. We show that there is a close relationship between Gessel numbers P(
Jovan Mikić
doaj   +1 more source

Binomial coefficients and quadratic fields [PDF]

Proceedings of the American Mathematical Society, 2006
Let E be a real quadratic field with discriminant d and let p be an odd prime not dividing d.
openaire   +2 more sources

Estimates of the least prime factor of a binomial coefficient

, 1993
We estimate the least prime factor p of the binomial coefficient ( k N ) \left ( {_k^N} \right ) for k ≥ 2 k \geq 2
C. B. Lacampagne, J. L. Selfridge, P. Erdős   +2 more
core   +1 more source