Index D

♦A♦B♦C♦D♦E♦F♦G♦H♦I♦J♦K♦L♦M♦N♦O♦P♦Q♦R♦S♦T♦V♦W♦

Darboux's method
- asymptotic approximations of sums and sequences §2.10(iv), §2.10(iv)
de Branges-Wilson beta integral §5.13
Dedekind modular function §27.14(iv)
- functional equation §27.14(iv)
Dedekind sums
- number theory §27.14(iii)
difference equations
- asymptotic solutions see asymptotic solutions of difference equations
differential equations
- asymptotic solutions see asymptotic solutions of differential equations
- classification of singularities §2.7(i)
- dominant solutions §2.7(iii)
- Fuchs-Frobenius theory §2.7(i)
- indices differing by an integer §2.7(i)
- indicial equation §2.7(i)
- irregular singularity §2.7(ii)
- numerically satisfactory solutions §2.7(iv)
- ordinary point §2.7(i)
- rank of singularity §2.7(ii)
- recessive solutions §2.7(iii)
- regular singularity §2.7(i)
- subdominant solutions see
digamma function see psi function

Dirac delta distribution §2.6(ii)
Dirichlet characters §27.8
- Gauss sum §27.10
Dirichlet product (or convolution) §27.5
Dirichlet's divisor problem
- number theory §27.11
Dirichlet series §27.4
- generating function §27.4
Dirichlet's theorem
- prime numbers in arithmetic progression §27.11
discriminant function
- number theory §27.14(vi)
  - functional equation §27.14(vi)
distributions
- convolutions §2.6(iii), §2.6(iii)
- of derivatives §2.6(ii)
- regularization §2.6(iv)
- tempered §2.6(ii)
divergent integrals §2.6(i)
- regularization §2.6(iv)
divisor function
- number theory §27.2(i)
double gamma function see
Dyson's integral
- gamma function §5.14