explicit formulas
Two explicit formulas for the generalized Motzkin numbers
... 4 Conclusions By the Faà di Bruno formula and some properties of the Bell polynomials of the second kind, we establish two explicit formulas for the Motzkin numbers, the generalized Motz[r] ...
8
Explicit formulas for Neumann coefficients in the plane wave geometry
... obtain explicit formulas for the Neumann coefficients and associated quanti- ties that appear in the three-string vertex for type IIB string theory in a plane- wave background, for any value of the mass ...
32
On Multi-Order Logarithmic Polynomials and their Explicit Formulas, Recurrence Relations, and Inequalities
... [22], explicit formulas, recurrence relations, determinantal inequalities, product inequalities, logarithmic convexity, logarithmic concavity, and applications of Q m,n (x) were ...
11
Explicit formulas for local formal Mellin transforms
... In [BE04], S. Bloch and H. Esnault introduced the local Fourier transforms for con- nections on the formal punctured disk. In [GL04], R. Garcia Lopez found similar results to [BE04] using a different method. Bloch and ...
73
Multiplicative Kulli-Basava Indices
... compute explicit formulas for computing the multiplicative total Kulli-Basava index, multiplicative modified first Kulli-Basava index, multiplicative F- Kulli-Basava index, multiplicative zeroth order ...
7
Multiplicative Pulsated Fibonacci Sequences Part 2
... the explicit formulas of multiplicative pulsated Fibonacci sequences of second ...and explicit formulas for the form of its members are formulated and ...
5
Some Results on Generalized Degree Distance
... In this paper, we present explicit formulas for this new graph invariant of the Cartesian product, composition, join, disjunction and symmetric difference of graphs and introduce general[r] ...
8
Fourier Coefficients of some Eta Quotients of Weight 8
... Abstract. Recently, Williams[12] and then Yao, Xia, Jin [13] discovered the explicit formulas of the coefficients of Fourier series expansions of a class of eta quotients. Williams expressed all ...
22
Spectral Correlation of Multicarrier Modulated Signals and Its Application for Signal Detection
... decades. Explicit formulas of spectral correlation function for various types of analog-modulated and digital-modulated signals are already ...the explicit theoretical formulas of nonconjugate ...
14
An Explicit Expression of Average Run Length of Exponentially Weighted Moving Average Control Chart with ARIMA (p,d,q)(P, D, Q)L Models
... the explicit formulas and the numerical ...our explicit formulas for the ARL with the one obtained via Gauss-Legendre numerical ...the explicit formulas was approximately one ...
11
Degenerate poly Bernoulli polynomials with umbral calculus viewpoint
... In this paper, we will use umbral calculus in order to derive some properties, explicit formulas, recurrence relations, and identities as regards the degenerate poly-Bernoulli polynomial[r] ...
13
First hitting times of simple random walks on graphs with congestion points
... We derive the explicit formulas of the probability generating functions of the first hitting times of simple random walks on graphs with congestion points using group representations.. Ra[r] ...
12
Some Properties of the Hermite Polynomials and Their Squares and Generating Functions
... present explicit formulas for higher order derivatives of the generating functions of the Hermite polynomials and their squares, which can be viewed as ordinary differen- tial equations or derivative ...
14
On the Prime Geodesic Theorem for Non Compact Riemann Surfaces
... via explicit formulas for the Jorgenson-Lang fundamental class of functions, our main goal is to obtain this improvement for non-compact Riemann surfaces with cusps following a more direct method of ...
13
Hosoya index of bridge and splice graphs
... In this paper, explicit formulas are given for the Hosoya index of bridge and splice graphs.. Keywords: Hosoya index, bridge graphs, splices graphs.[r] ...
5
Eigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays
... for explicit formulas for output feedback controllers with linear equations in arbitrary eigenvalue assignment for linear multivariable controllable and observable systems; which is based on the matrix ...
8
Several Explicit and Recursive Formulas for the Generalized Motzkin Numbers
... two explicit formulas and recover a recursive formula for the generalized Motzkin ...two explicit formulas and a recursive formula for the Motzkin numbers, the Catalan numbers, and the ...
11
Jacobian Coordinates on Genus 2 Curves
... the formulas from [29] or ...previous formulas by reporting concrete implementation numbers in Section ...the explicit formulas in this paper also require far fewer field additions than those ...
24
Simplifying Two Families of Nonlinear Ordinary Differential Equations
... Guo, Explicit formulas and nonlinear ODEs of generating functions for Eu- lerian polynomials , ResearchGate Working Paper (2016), available online at http://dx.doi. Guo, Explicit formula[r] ...
6
Generalizations of the Bell Numbers and Polynomials and Their Properties
... establish explicit formulas and inversion for- mulas for these generalizations in terms of the Stirling numbers of the first and second kinds with the help of the Fa` a di Bruno formula, properties of the ...
12
