Results 51 to 60 of about 12,448 (236)
Study of (p, q)‐Symmetric Starlike Functions of Order η
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan +4 more
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A Comprehensive Framework for Statistical Inference in Measurement System Assessment Studies
Applied Stochastic Models in Business and Industry, Volume 41, Issue 6, November/December 2025.ABSTRACT Measurement system analysis aims to quantify the variability in data attributable to the measurement system and evaluate its contribution to overall data variability. This paper conducts a rigorous theoretical investigation of the statistical methods used in such analyses, focusing on variance components and other critical parameters.
Banafsheh Lashkari, Shojaeddin Chenouri
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New Extension of Beta Function and Its Applications
International Journal of Mathematics and Mathematical Sciences, 2018 In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their
Mehar Chand, Hanaa Hachimi, Rekha Rani
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Advances in Difference Equations, 2018 In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya +3 more
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Exact analytical solutions of the Bloch equation for the hyperbolic‐secant and chirp pulses
Magnetic Resonance in Medicine, Volume 94, Issue 5, Page 2140-2149, November 2025.Abstract Purpose To improve the accuracy and generality of analytical solutions of the Bloch equation for the hyperbolic‐secant (HS1) and chirp pulses in order to facilitate application to truncated and composite pulses and use in quantitative methods.
Ryan H. B. Smith +2 more
wiley +1 more source
A Note on Wright-type Generalized q-hypergeometric Function
Известия Иркутского государственного университета: Серия "Математика"In 2001, Virchenko et al. published a paper on a new generalization of Gauss hypergeometric function, namely Wright-type generalized hypergeometric function. Present work aims to define the q-analogue generalized hypergeometric function, which reduces to
K. K. Chaudhary, S. B. Rao
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Speed of Convergence to Normality When Regressors Are Nonstationary
Oxford Bulletin of Economics and Statistics, Volume 87, Issue 5, Page 871-879, October 2025.ABSTRACT Stochastic and deterministic trends always coexist in data generating processes, which causes the nonstationarity and non‐standard distributions of statistics used in inference. It is known that the presence of the deterministic trend leads to asymptotic normality of the t‐statistics.
Lukasz T. Gatarek, Aleksander Welfe
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Jacobi matrices generated by ratios of hypergeometric functions
, 2017 A problem of determining zeroes of the Gauss hypergeometric function goes back to Klein, Hurwitz, and Van Vleck. In this very short note we show how ratios of hypergeometric functions arise as m-functions of Jacobi matrices and we then revisit the ...
Derevyagin, Maxim
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On a new class of summation formulae involving the Laguerre polynomial [PDF]
, 2012 By elementary manipulation of series, a general transformation involving the generalized hypergeometric function is established. Kummer’s first theorem, the classical Gauss summation theorem and the generalized Kummer summation theorem due to Lavoie et ...
Kim, Yong S. +2 more
core +3 more sources
Jaccard dissimilarity in stochastic community models based on the species‐independence assumption
Ecography, Volume 2025, Issue 8, August 2025.A fundamental problem in ecology is understanding the changes in species composition among sites (i.e. beta‐diversity). It is unclear how spatial heterogeneity in species occupancy across sites shapes patterns of beta‐diversity. To address this question, we develop probabilistic models that consider two spatial or temporal sites, where presence ...
Ryosuke Iritani +5 more
wiley +1 more source