Exact Values of the Function Γ∗(k)

نویسنده

  • Michael P. Knapp
چکیده

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Application of the exact operational matrices for solving the Emden-Fowler equations, arising in ‎Astrophysics‎

The objective of this paper is applying the well-known exact operational matrices (EOMs) idea for solving the Emden-Fowler equations, illustrating the superiority of EOMs over ordinary operational matrices (OOMs). Up to now, a few studies have been conducted on EOMs ; but the solved differential equations did not have high-degree nonlinearity and the reported results could not strongly show the...

متن کامل

Down-Regulation of T Cell Function by Heat Shock-Induced Excretory Factor of Leishmania Major

Background: Despite demonstration of molecular and biochemical changes induced by heat shock on Leishmania, the immunological importance of such changes has not been elucidated.  Objective: Studying the effect of two excretory factors prepared under heat shock and ambient temperature from Leishmania major on Balb/c splenocytes function.  Methods: The parasites were cultured at 25°C and then sub...

متن کامل

Heilbronn ’ S Conjecture on Waring ’ S Number ( Mod P )

Let p be a prime k|p−1, t = (p−1)/k and γ(k, p) be the minimal value of s such that every number is a sum of s k-th powers (mod p). We prove Heilbronn’s conjecture that γ(k, p) k1/2 for t > 2. More generally we show that for any positive integer q, γ(k, p) ≤ C(q)k1/q for φ(t) ≥ q. A comparable lower bound is also given. We also establish exact values for γ(k, p) when φ(t) = 2. For instance, whe...

متن کامل

Fe b 20 08 Searching for Strange Hypergeometric Identities By Sheer Brute

, where one can also find sample input and output. ∞ k=0 (a) k (b) k k!(c) k x k , (where (z) k := z(z + 1)(z + 2) · · · (z + k − 1)), that nowadays is more commonly denoted by 2 F 1 a, b c ; x , has a long and distinguished history, going back to Lehonard Euler and Carl Friedrich Gauss. It was also one of Ramanujan's favorites. Under the guise of binomial coefficient sums it goes even further ...

متن کامل

Inference on Pr(X > Y ) Based on Record Values From the Power Hazard Rate Distribution

In this article, we consider the problem of estimating the stress-strength reliability $Pr (X > Y)$ based on upper record values when $X$ and $Y$ are two independent but not identically distributed random variables from the power hazard rate distribution with common scale parameter $k$. When the parameter $k$ is known, the maximum likelihood estimator (MLE), the approximate Bayes estimator and ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011