COMBINATORIAL IDENTITIES AND INVERSE BINOMIAL COEFFICIENTS TOUFIK MANSOUR Department of Mathematics, University of Haifa, Haifa, Israel 31905

Source URL: math.haifa.ac.il

• Combinatorics
• Number theory
• Binomial coefficient
• Polynomials
• Factorial
• Mathematical series
• Summation
• Multiset
• Binomial series
• Mathematics
• Mathematical analysis
• Integer sequences

Best Practice Recommendation for Forecasting Counts Brajendra C. Sutradhar Department of Mathematics and Statistics, Memorial University of Newfoundland St. John’s, NL, Canada A1C 5S7

Source URL: forecasters.org

• Actuarial science
• Econometrics
• Categorical data
• Forecasting
• Poisson distribution
• Regression analysis
• Overdispersion
• Count data
• Negative binomial distribution
• Statistics
• Data analysis
• Time series analysis

The Package HYPQ for handling basic hypergeometric series (q-series) Loading the package: In[1]:= << hyp.q The basic objects. The q-binomial coefficient:

Source URL: www.ima.umn.edu

PROBLEM OF THE WEEK Solution of Problem No. 2 (Spring 2014 Series) Problem: It is known that, for any positive integer m, X

Source URL: www.math.purdue.edu

• Integer sequences
• Binomial coefficient
• Enumerative combinatorics
• Mathematical series
• Prime numbers
• Catalan number
• Mathematics
• Mathematical analysis
• Combinatorics

Probability Reference Combinatorics and Sampling A permutation is an ordered selection. The number of permutations of k items picked from a list of n items, without replacement, is P (n; k) := n(n |

Source URL: uhaweb.hartford.edu

• Polynomials
• Beta function
• Negative binomial distribution
• Probability density function
• Orthogonal polynomials
• Mathematical series
• Bernoulli polynomials
• Binomial coefficient
• Mathematical analysis
• Mathematics
• Special functions

15 Higher and Super Calculus of Elliptic Integral 15.1 Double series expansion of Elliptic Integral[removed]Double series expansion of Elliptic Integral of the 1st kind Formula[removed]The following expressions hold for |k

Source URL: fractional-calculus.com

• Polar coordinate system
• Integral calculus
• Elliptic integral
• Binomial coefficient
• Binomial theorem
• Tautochrone curve
• Vibrations of a circular drum
• Mathematics
• Mathematical analysis
• Curves

21 Super Calculus of the product of many functions 21.1 Super Integrals of the product of many functions (1) Generalized binomial theorem and Super integral of the product of 2 functions According to the generalized bino

Source URL: fractional-calculus.com

• Binomial theorem
• Mathematical series
• Normal distribution
• Fourier transform
• Mathematical analysis
• Mathematics
• Integral transforms

The normal approximation to the hypergeometric distribution Mark A. Pinsky, Northwestern University 1 Introduction

Source URL: www.dartmouth.edu

• Combinatorics
• Central limit theorem
• De Moivre–Laplace theorem
• Mathematical series
• Number theory
• Binomial coefficient
• Taylor series
• Factorial
• Binomial distribution
• Mathematics
• Mathematical analysis
• Integer sequences

3 Generalized Multinomial Theorem 3.1 Binomial Theorem Theorem[removed]If x1, x2

Source URL: fractional-calculus.com

• Combinatorics
• Multinomial theorem
• Binomial theorem
• Binomial series
• Mathematics
• Mathematical analysis
• Binomial coefficient

UIUC Mock Putnam Exam[removed]Solutions Problem 1. Let a1 = 1, a2 = 1, a3 = −1, and for n > 3 define an by an = an−1 an−3 . Find a2006 . Solution. Computing the first 10 terms of the sequence {an }, we obtain

Source URL: www.math.illinois.edu

• Fibonacci number
• Summation
• Mathematical induction
• Factorial
• Recurrence relation
• Generating function
• Binomial coefficient
• Formal power series
• Mathematics
• Combinatorics
• Integer sequences