# explicit formulas

### Two explicit formulas for the generalized Motzkin numbers

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### Explicit formulas for Neumann coefficients in the plane wave geometry

**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

**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

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### Multiplicative Kulli-Basava Indices

**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

**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

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### Fourier Coefficients of some Eta Quotients of Weight 8

**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

**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

**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

13

### First hitting times of simple random walks on graphs with congestion points

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### Some Properties of the Hermite Polynomials and Their Squares and Generating Functions

**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

**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

5

### Eigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays

**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

**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

**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

6

### Generalizations of the Bell Numbers and Polynomials and Their Properties

**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