[PDF] Top 20 Period polynomials, derivatives of L functions, and zeros of polynomials
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Period polynomials, derivatives of L functions, and zeros of polynomials
... The experimental evidence for Conj. 3.8 in the case of both the first and the higher deriva- tives was based on computer search. In particular, the authors used SAGE to check that the norms of all zeroes of all full ... See full document
17
The zeros of q shift difference polynomials of meromorphic functions
... Although for any given meromorphic function f (z) with finite positive order and for any a ∈ C, the counting functions N(r, f = a) and n(r, f = a) both have the same order, the situation is different for ... See full document
10
Bounds on the complex zeros of (Di)Chromatic polynomials and Potts-model partition functions
... In statistical mechanics, a very important role is played by the complex zeros of the partition function. This arises as follows [133]. Statistical physicists are interested in phase transitions , in other words ... See full document
37
The zeros of complex differential difference polynomials
... their derivatives, with small functions of f (z) as the ...the zeros of differential-difference ...the zeros of differential polynomials, difference polynomials, ... See full document
11
Zeros of some difference polynomials
... satisfies δ(a, Q(z, f )) < . Therefore, Q(z, f ) takes every nonzero finite value infinitely often. We observe that condition (.) can be weakened. It is well known that deficient value plays an important role in the ... See full document
11
On the Location of Zeros of Polynomials
... Mohammad, “On the Zeros of a Certain Class of Polynomials and Related Analytic Functions,” Journal of Mathematical Analysis and Applications, Vol.75, 1980, pp.. Zargar, “Some Extensions [r] ... See full document
10
Value distribution of certain differential polynomials
... 1. Introduction and definitions. Let f be a transcendental meromorphic function in the open complex plane. The problem of possible Picard values of derivatives of f reduces to the problem of whether certain ... See full document
9
The zeros on complex differential difference polynomials of certain types
... We assume that the readers are familiar with the basic symbols and fundamental results of Nevanlinna theory [8, 9, 18]. A function a(z) ≡ 0, ∞ is a small function with respect to f (z) if T (r, a) = S(r, f ), where S(r, ... See full document
14
Some Properties of Orthogonal Polynomials for Laguerre Type Weights
... Sakai, “Convergence of the derivatives of Hermite-Fejér interpolation polynomials of higher order based at the zeros of Freud polynomials,” Journal of Approximation Theory, vol.. Sakai,[r] ... See full document
25
Some Remarks on the Zeros of Tribonacci Polynomials
... the zeros of R−Bonacci polynomials in ...Fibonacci polynomials and Tribonacci polynomials are obtained ...Fibonacci polynomials in ...Stable Polynomials, Hand Printed Characters ... See full document
6
Search | Preprints
... and polynomials and investigate some properties of these ...these polynomials by summation techniques ...and polynomials by using generating ... See full document
11
MAXIMUM MODULUS OF POLYNOMIALS HAVING SOME ZEROS AT ORIGIN
... modulus of a polynomial on the circle , in terms of its degree and the maximum modulus on the unit circle, we have several well known results for the case R 1 and r 1 respectively. In this paper, we have obtained ... See full document
9
Calculating Zeros of the Genocchi Polynomials Associated with Adic Integral on
... The versions of q-Genocchi numbers and polynomials, which were derived from different considerations and different formulas, were defined by Kim 13, 14. Kim 14 treated analogue of the Genocchi numbers, which is ... See full document
19
10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums
... (1.9) If we take a = 1, b = c = e in (1.7), (1.8) and (1.9) respectively, we have (1.4), (1.5) and (1.6). Obviously, when we set λ = 1, α = 1, a = 1, b = c = e in (1.7), (1.8) and (1.9), we have classical Bernoulli ... See full document
15
Professor H M Srivastava: man and mathematician
... Dirichlet’s L-series, introduction and application of some novel techniques for closed-form evaluations of se- ries involving a wide variety of sequences and functions of analytic number theory, and so ... See full document
5
Derivatives of Integrating Functions for Orthonormal Polynomials with Exponential Type Weights
... So, in this paper we will estimate the higher derivatives of An x and Bn x for the estimates of the higher derivatives of pn wρ2 ; x, because the higher derivatives of pn,ρ x play an imp[r] ... See full document
22
Zeros of random orthogonal polynomials on the unit circle
... We will use some techniques from the spectral theory of discrete Schr¨odinger operators to study the distribution of the zeros of the random paraorthogonal polynomials, especially ideas and methods ... See full document
98
The zeros of differential difference polynomials of certain types
... part in considering the difference analogues of Nevanlinna theory. With the development of difference analogue of Nevanlinna theory, many authors paid their attention to the zero distribution of difference ... See full document
8
Inequalities Concerning Polar Derivative of Polynomials
... V.K.Jain, On polynomials having zeros in closed closed exterior or interior of a. circle, Indian J.[r] ... See full document
11
Some Properties of the Hermite Polynomials and Their Squares and Generating Functions
... generating functions of the Hermite polyno- mials and their squares, present explicit formulas for higher order derivatives of the generating functions of the Hermite polynomials and their ... See full document
14
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