Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 3

Murray R. Spiegel: Mathematical Handbook of Formulas and Tables: Chapter 3

Published $\text {1968}$

Previous  ... Next

$3 \quad$ The Binomial Formula and Binomial Coefficients

$3.1$: Factorial

$3.2$: Factorial of $0$

$3.3$, $3.4$: Binomial Theorem: Integral Index

$3.5$: Binomial Coefficient: Integers: Definition 1

$3.6$: Pascal's Rule

$3.7$: Sum of Binomial Coefficients over Lower Index

$3.8$: Alternating Sum and Difference of Binomial Coefficients for Given $n$

$3.9$: Rising Sum of Binomial Coefficients

$3.10$: Sum of Even Index Binomial Coefficients

$3.11$: Sum of Odd Index Binomial Coefficients

$3.12$: Sum of Squares of Binomial Coefficients

$3.13$: Chu-Vandermonde Identity

$3.14$: Increasing Sum of Binomial Coefficients

$3.15$: Increasing Alternating Sum of Binomial Coefficients

$3.16$: Multinomial Theorem

Previous  ... Next