Error bounds for the numerical evaluation of Legendre polynomials by a three-term recurrence

Numerical Calculation of Fractional Derivatives for the Sinc Functions via Legendre Polynomials

‎This paper provides the fractional derivatives of‎ ‎the Caputo type for the sinc functions‎. ‎It allows to use efficient‎ ‎numerical method for solving fractional differential equations‎. ‎At‎ ‎first‎, ‎some properties of the sinc functions and Legendre‎ ‎polynomials required for our subsequent development are given‎. ‎Then‎ ‎we use the Legendre polynomials to approximate the fractional‎ ‎deri...

The root distribution of polynomials with a three-term recurrence

For any fixed positive integer n, we study the root distribution of a sequence of polynomials Hm(z) satisfying the rational generating function ∞ ∑ m=0 Hm(z)t m = 1 1 +B(z)t+A(z)tn where A(z) and B(z) are any polynomials in z with complex coefficients. We show that the roots of Hm(z) which satisfy A(z) 6= 0 lie on a specific fixed real algebraic curve for all large m.

study of cohesive devices in the textbook of english for the students of apsychology by rastegarpour

this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...

Legendre polynomials for numerical solution of linear fuzzy Fredholm integral equations

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.