Zobrazeno 1 - 10
of 7 631
pro vyhledávání: '"Gauss hypergeometric function"'
Autor:
Frolenkov, Dmitry
We prove an asymptotic formula for $F\left(1/4-it+ir,1/4-it-ir,1/2;x \right)$ as $r, t\to\infty$ and $\alpha=r/t\to0.$ This special case of the Gauss hypergeometric function appears in the explicit formula for the first moment of Maass form symmetric
Externí odkaz:
http://arxiv.org/abs/2408.05619
Autor:
Balkanova, Olga
We prove an asymptotic formula for a special case of the Gauss hypergeometric function which arises in explicit formulas for moments of Maass form symmetric square L-functions. The resulting formula is uniform in several variables, which is crucial f
Externí odkaz:
http://arxiv.org/abs/2408.05615
Autor:
Kumar, Anish, Das, Sourav
The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been
Externí odkaz:
http://arxiv.org/abs/2405.01869
Autor:
Bouali, Mohamed
We investigate the convexity property on $(0,1)$ of the functions $\varphi_{a,b,c}$ and $1/\varphi_{a,b,c}$, where $$\varphi_{a,b,c}(x)= \frac{c-\log(1-x)}{\,_2F_1(a,b,a+b,x)},$$ whenever $a,b\geq 0$ and $a+b\leq 1$. We Show that $\varphi_{a,b,c}$ (r
Externí odkaz:
http://arxiv.org/abs/2403.09695
Autor:
Li, Yue-Wu1 (AUTHOR) yuewul@126.com, Qi, Feng2,3 (AUTHOR) honest.john.china@gmail.com
Publikováno v:
Axioms (2075-1680). May2024, Vol. 13 Issue 5, p317. 24p.
Autor:
Yadav, Komal Singh1 ksyadav230128@gmail.com, Srivastava, Nirmal2 nirmalsri.25@gmail.com, Verma, Ashish3 vashish.lu@gmail.com
Publikováno v:
Mathematics in Engineering, Science & Aerospace (MESA). 2023, Vol. 14 Issue 3, p687-695. 9p.
Autor:
Yadav, Komal Singh1 ksyadav230128@gmail.com, Bajpai, Saurabh1, Sharan, Bhagwat2 bhagwat_sharan@hotmail.com, Verma, Ashish1 vashish.lu@gmail.com
Publikováno v:
Nonlinear Studies. 2023, Vol. 30 Issue 4, p1127-1140. 14p.
Akademický článek
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Publikováno v:
Axioms, Vol 13, Iss 5, p 317 (2024)
In this paper, the authors briefly review some closed-form formulas of the Gauss hypergeometric function at specific arguments, alternatively prove four of these formulas, newly extend a closed-form formula of the Gauss hypergeometric function at som
Externí odkaz:
https://doaj.org/article/eb639664134b4fd58387d2fd570fa99f