## Chapter 13

$\text{Mult}(H(D), \mathcal{U}_D)$
$D\varphi_F, D\varphi_{a,r}, \varphi_a, D\varphi_D, D\varphi_{D,r}, D\varphi_\infty$
$\mathcal{J}(F), \mathcal{J}_0(F), \mathcal{J}(a)$
$\Psi_a(h, \mu)$

## Chapter 14

$\mathcal{A}(\mathbb{K}), \mathcal{A}(d(a, r^{-})), \mathcal{A}_{b}(d(a, r^{-})), \mathcal{A}_{u}(d(a, r^{-})), \mathcal{A}(\mathbb{K}\setminus d(a, r)), \mathcal{A}_{b}(\mathbb{K}\setminus d(a, r)), \mathcal{A}_{u}(\mathbb{K}\setminus d(a, r)) \mathcal{A}(\Gamma(a, r', r''))$, $\mathcal{A}_{b}(\Gamma(a, r', r''))$
$|f|(r)$
$\nu^{+}(f, \mu), \nu^{-}(f, \mu), \nu(f, \mu)$

## Chapter 15

$\overline{f}_0, \overline{f}_T$
$\hat{H}(\hat{D})$
$\text{res}(f, T)$
$E^*$

## Chapter 16

$\omega_\alpha(f)$

## Chapter 17

Alg
$f^*, \overline{f}$
$\mathcal{J}(a)$
Condition A, Condition B

## Chapter 19

$\lambda(a)$
$\Psi(x), \Psi(f, \mu), \Psi_a(f, \mu)$

## Chapter 22

$f^{<n>}$

## Chapter 24

$\mathcal{Q}_n(D), \mathcal{Q}(D)$
**Chapter 25**

Log, exp, $e^x$

**Chapter 26**

I

$\Psi_p, \Psi_0$

$O(\zeta(r)), o(\zeta(r))$

**Chapter 27**

$\mathcal{T}(E), \mathcal{T}_{a,R}(E)$

$\mathcal{D}(f)$

**Chapter 29**

$f^T$

$mo(f, T)$

$\eta_q, \sqrt{u}$

**Chapter 30**

$\rho(f), \tilde{\rho}(f)$

$\psi(f), \tilde{\psi}(f)$

$\psi(f, r) A^*(\mathbb{K}), A^*(\mathbb{K}, t)$

$s(r, f)$

**Chapter 31**

$\sigma(f), \tilde{\sigma}(f)$

$\sigma(f, r)$,

**Chapter 32**

$\theta(f), \psi(f)$

$\zeta(f, r)$

$A^*(E)$

$\sigma(f)$

**Chapter 37**

$\mathrm{res}(f, \alpha)$ ($f$ meromorphic function)
Chapter 35

$\mathcal{I}_s$, $t(J)$, $\ell(J)$, $u(J)$, $m(s)$,

$\lambda(f_1, \dots, f_s)$, $w(f_1, \dots, f_s)$,

$t(J)$, $l(J)$

$\mathcal{D}(f, \epsilon)$

$\mathcal{G}_I$

$\mathcal{V}(\phi, f_1, \dots, f_q, \epsilon)$.

$B(\mathbb{N}, \mathbb{K})$

$\mathcal{W}$

Chapter 36

$\mathcal{M}\mathbb{K})$, $\mathcal{M}(d(a, R^{-})))$

$\mathcal{M}_b(d(a, R^{-})))$

$\mathcal{M}_u(d(a, R^{-})))$

$\mathcal{W}(f, r, \epsilon)$

$\omega_a(f)$

Chapter 37

$\mathrm{res}(f, \alpha)$

Chapter 39

$D = \mathbb{K}\backslash S$

$\mathcal{A}(D)$, $\mathcal{A}^c(D)$,

$\mathcal{M}(D)$, $\mathcal{M}^c(D)$,

$\mathcal{A}^*(D)$

$\mathcal{M}^*(D)$

Chapter 40

$\mathcal{F}_{a,r}$

$\mathcal{Q}(\mathcal{F})$.

$\mathcal{F} \preceq \mathcal{G}$

$\mathcal{F} \prec \mathcal{G}$

$\Sigma(D)$, $\Sigma_0(D)$

$\sup(\mathcal{F}, \mathcal{G})$
$\lambda(\mathcal{F}, \mathcal{G})$

$\delta(\mathcal{F}, \mathcal{G})$

$\tilde{\delta}$

**Chapter 41**

$h_*(\mathcal{F})$

$\Phi(D, u)$

$\Pi(f)$

**Chapter 42**

$\tilde{\delta}(\mathcal{F}, \mathcal{G})$

$\tilde{d}(u, v)$

$\overline{f}$

$\mathcal{P}$

**Chapter 43**

$O(\zeta(r)), o(\zeta(r))$

$Z(r, f), \overline{Z}(r, f),$

$N(r, f), \overline{N}(r, f)$

$T(r, f)$

$\overline{\omega}_0, \overline{\omega}_0$

**Chapter 46**

$Z_R(r, f), \overline{Z}_R(r, f)$

$N_R(r, f), \overline{N}_R(r, f)$

$T_R(r, f)$

**Chapter 48**

$g.c.d.(m, n)$

**Chapter 50**

$Z(r, f | \text{"}f(x)\text{"}$ satisfying Property P")

$\overline{Z}(r, f | \text{"}f(x)\text{"}$ satisfying Property P")

$N(r, f | \text{"}f(x)\text{"}$ satisfying Property P")

$\overline{N}(r, f | \text{"}f(x)\text{"}$ satisfying Property P")
$\lambda_n$

$s(r, f)$, $t(r, f)$, $\beta(r, f)$

$W(f,g)$

## Chapter 51

$M_f(\mathbb{K})$, $M_f(d(0, R^{-}))$

$A_f(\mathbb{K})$, $A_f(d(0, R^{-}))$

$\mathcal{Z}(h)$, $\mathcal{Y}(h)$

## Chapter 52

$M(r, f)$

## Chapter 54

$\mathcal{P}(h)$

$\mathcal{C}(h)$

$\mathcal{T}(f, h)$

$\mathcal{S}(f, h)$

$\mathcal{D}(t, r, A)$

## Chapter 55

Hypothesis (F)

## Chapter 56

$\mathbb{P}_1(E)$

$\mathcal{E}(f, S)$

$P_{n,c}$

$S(n, c)$

$Z_n(k)$

## Chapter 57

$u_n$

$Q_{n,k}$, $Y_{n,k}$

$Q_{n,m,k}(x)$, $Y_{n,m,k}$
**Chapter 58**

$\mathcal{E}(f, S)$

$\text{ram}(f)$

$\tilde{Z}(r, f), \tilde{N}(r, f)$

**Chapter 61**

$\text{deg}_x(P)$