mathhook_core::functions::properties::rules

Struct ThreeTermRecurrence

pub struct ThreeTermRecurrence {
    pub alpha_coeff: Expression,
    pub beta_coeff: Expression,
    pub gamma_coeff: Expression,
    pub initial_conditions: (Expression, Expression),
}

Expand description

Three-term recurrence for orthogonal polynomials

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§alpha_coeff: Expression

Forward coefficient: α_n in P_{n+1} = (α_n x + β_n)P_n - γ_n P_{n-1}

§beta_coeff: Expression

Linear coefficient: β_n

§gamma_coeff: Expression

Backward coefficient: γ_n

§initial_conditions: (Expression, Expression)

Initial conditions: P_0, P_1

Trait Implementations§

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impl Clone for ThreeTermRecurrence

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fn clone(&self) -> ThreeTermRecurrence

Returns a duplicate of the value. Read more

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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more

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impl Debug for ThreeTermRecurrence

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more

Auto Trait Implementations§

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impl UnwindSafe for ThreeTermRecurrence

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)

Performs copy-assignment from self to dest. Read more

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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

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