Results 61 to 70 of about 5,395,506 (201)

Closed-form estimators for the inverse Nakagami distribution

Anais da Academia Brasileira de Ciências
The inverse Nakagami distribution due to Louzada et al. (2018) does not have closed-form maximum likelihood estimators. Closed-form estimators by adapting the method of moments are proposed in this note.
VICTOR NAWA, SARALEES NADARAJAH
doaj   +1 more source

Progression‐Free Survival 2 as a Potential Surrogate for Overall Survival in Glioblastoma: Insights From a Spanish Multicentric Cohort

Cancer Medicine, Volume 15, Issue 4, April 2026.
Overall, PFS2 correlated more strongly with OS than PFS (0.83 vs. 0.69). PFS2 outperformed PFS in patients with targetable alterations and in those without. Our findings support using PFS2 as a candidate surrogate endpoint in glioblastoma trials. Implementing PFS2 balances trial feasibility with clinical relevance of outcomes.
Jesús Yaringaño, Oriol Mirallas, Víctor Navarro, Diego Gómez‐Puerto, Gabriel Velilla, María Ángeles Vaz, Teresa Gorria, Álvaro Martínez‐Monino, Ainhoa Hernández, María Aguado, Antonio Di Muzio, Daniel López Valbuena, Fiorella Ruiz‐Pace, Macarena González, María Martínez‐García, Guillermo Villacampa, Carmen Balaña, Joan Carles, Rodrigo Dienstmann, Estela Pineda, Juan Manuel Sepúlveda, María Vieito   +21 more
wiley   +1 more source

Some extensions of the Prabhu-Srivastava theorem involving the (p,q)-gamma function

, 2017
In this paper, we obtain some limit formulas for derivatives of (p,q)-gamma function and (p,q)- digamma function at their poles. These limit formulas extend the Prabhu-Srivastava theorem involving gamma function and digamma function.
Ji-Cai Liu, Jichun Liu
core   +1 more source

Bi‐Directional Recurrent Attentional Topic Model Using Flexible Priors

Computational Intelligence, Volume 42, Issue 2, April 2026.
ABSTRACT This article presents extensions to the Bi‐Directional Recurrent Attentional Topic Model (bi‐RATM) framework, a Dirichlet‐based model used in text document analysis. The allocation of topics to a sentence in a document is determined by its content as well as the topics of its neighboring sentences, and the weighting is typically variable. Many
Pantea Koochemeshkian, Nizar Bouguila
wiley   +1 more source

Some New Bounds for Bateman’s G-Function in Terms of the Digamma Function

In this paper, we present some new symmetric bounds for Bateman’s G-function and its derivatives, in terms of the digamma and polygamma functions, which are better than some recent ...
Hesham Moustafa, Waad Al Sayed
core   +1 more source

Some combinatorial series identities associated with the digamma function and harmonic numbers [PDF]

, 2010
The authors develop closed-form sums of several interesting families of series associated with the Digamma (or Psi) function and harmonic numbers. A number of illustrative examples and applications of the main results are also considered.National ...
Wu, T.-C., Tu, S.-T., Srivastava, H.M.
core  

New Sharp Bounds for Gamma and Digamma Functions

Annals of the Alexandru Ioan Cuza University - Mathematics, 2011
Inspired by the recent paper giving the two-sided Stirling-like sharp estimates of the factorial, the author uses this result to obtain bounds for gamma and digamma functions. To do this he constructs a completely monotonic function \(f\) containing a gamma function and some other functions and constants related to the bounds of the above estimates of \
openaire   +1 more source

A fractional residue theorem and its applications in calculating real integrals

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley   +1 more source

Closed-form summations of certain hypergeometric-type series containing the digamma function

, 2008
Recently, interesting novel summation formulae for hypergeometric-type series containing a digamma function as a factor have been established by Miller (2006 J. Phys. A: Math. Gen.
Cvijović, Đurđe
core   +1 more source

Geometric Nature of the Turánian of Modified Bessel Function of the First Kind

Axioms
This work explores the geometric properties of the Turanian of the modified Bessel function of the first kind (TMBF). Using the properties of the digamma function, we establish conditions under which the normalized TMBF satisfies starlikeness, convexity,
Samanway Sarkar, Dimiter Prodanov, Anish Kumar, Sourav Das   +3 more
doaj   +1 more source