Results 41 to 50 of about 860 (206)

Linear independence of digamma function and a variant of a conjecture of Rohrlich [PDF]

, 2009
Let ψ(x) denote the digamma function. We study the linear independence of ψ(x) at rational arguments over algebraic number fields. We also formulate a variant of a conjecture of Rohrlich concerning linear independence of the log gamma function at ...
Ram Murty, M., Rath, Purusottam, Gun, Sanoli   +2 more
core   +1 more source

Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function

Physics Letters B
We consider the powers of leading order eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation at zero conformal spin. Using reflection identities of harmonic sums we demonstrate how involved generalized polygamma functions are introduced by ...
Mohammad Joubat, Claudelle Capasia Madjuogang Sandeu, Alex Prygarin   +2 more
doaj   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Analysis On Perturbed Hermite-Hadamard Type Inequalities Through Convexity Classes and Their Applications [PDF]

Sahand Communications in Mathematical Analysis
This research contributes to the field of mathematical inequalities by extending Hermite-Hadamard-type inequality results to the fractional calculus.
Arslan Munir, Hüseyin Budak, Artion Kashuri, Sajid Iqbal   +3 more
doaj   +1 more source

LLM‐based prior elicitation for Bayesian graphical modeling

British Journal of Mathematical and Statistical Psychology, EarlyView.
ABSTRACT In the Bayesian graphical modeling framework, priors on network structure encode theoretical assumptions and uncertainty about the topology of psychological constructs under study. For instance, the Bernoulli prior specifies the probability of each pairwise interaction, the Beta–Bernoulli prior governs expected network density, and the ...
Nikola Sekulovski, Meike Waaijers, Giuseppe Arena   +2 more
wiley   +1 more source

Modular relations involving generalized digamma functions [PDF]

, 2023
Generalized digamma functions ?k(x), studied by Ramanujan, Deninger, Dilcher, Kanemitsu, Ishibashi etc., appear as the Laurent series coefficients of the zeta function associated to an indefinite quadratic form.
Dixit, Atul, Sharan, N. Guru, Sathyanarayana, Sumukha   +2 more
core   +3 more sources

Likelihood Estimation for Stochastic Differential Equations with Mixed Effects

Scandinavian Journal of Statistics, EarlyView.
ABSTRACT Stochastic differential equations provide a powerful tool for modelling dynamic phenomena affected by random noise. When time series are observed for several experimental units, it is often the case that some of the parameters vary between the individual experimental units.
Fernando Baltazar‐Larios, Mogens Bladt, Michael Sørensen   +2 more
wiley   +1 more source

On digamma series convertible into hypergeometric series [PDF]

, 2023
Series containing the digamma function arise when calculating the parametric derivatives of the hypergeometric functions and play a role in evaluation of Feynman diagrams.
Çetinkaya, Asena, Karp, Dmitrii
core   +1 more source

Analytical Properties of k-Generalized Digamma and Polygamma Functions Derived From Dilcher-Type Gamma Functions

Journal of Mathematics
This study presents a detailed investigation into the analytical properties of the generalized Gamma function introduced by Dilcher. We establish a fundamental recurrence relation and derive novel reflection formula for this generalized function ...
Gregory Abe-I-Kpeng, Mohammed Muniru Iddrisu, Kwara Nantomah   +2 more
doaj   +1 more source

Rendering transparency to ranking in educational assessment via Bayesian comparative judgement

Review of Education, Volume 14, Issue 2, August 2026.
Abstract Transparency in educational assessment has become an increasingly pressing concern, particularly in the aftermath of the pandemic, as institutions seek more equitable, robust and defensible methods of evaluating student work. Comparative judgement (CJ) has gained traction as a promising alternative to traditional rubric‐based marking. However,
Andy Gray, Stephen Lindsay, Jen Pearson, Tom Crick, Alma Rahat   +4 more
wiley   +1 more source