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Everything about Transcendental function
Analytic function that does not satisfy a polynomial equation
In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation whose coefficients are functions of the independent variable that can be written using only the basic operations of addition, subtraction, multiplication, and division. This is in contrast to an algebraic function. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Transcendental functionA 5-minute orientation
- Skim a recent paper: A New Hybrid Root-Finding Algorithm to Solve Transcendental Equations Using Arcsine FunctionInfluential work since 2022
- Pick up a classic book: CalculusThe most-reprinted book on the subject
- Read the landmark paper: Transcendental values of the digamma functionCited 48 times
- Go sideways: Elementary functionA closely related topic
- Go sideways: Closed-form expressionA closely related topic
📖 Definitions
Noun Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.
Noun A meromorphic function on the complex plane that is not a rational function.
🏆 Landmark papers (most cited)
Transcendental values of the digamma function
A method solving kepler's equation without transcendental function evaluations
Algebraic and transcendental formulas for the smallest parts function
A transcendental function invariant of virtual knots
Transcendental values of the p-adic digamma function
On the order function of a transcendental number
Existence of an entire transcendental function of boundedl-index
Complexity lower bounds for computation trees with elementary transcendental function gates
🆕 Influential since 2022
A New Hybrid Root-Finding Algorithm to Solve Transcendental Equations Using Arcsine Function
Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration
Geometrically finite transcendental entire functions
A Transcendental LASSO Function for Combining Machine Learning and Statistical Model Forecasts
Determining and Grounding: The Twofold Function of the Transcendental Dialectic
📚 Books worth reading
CalculusRon Larson · 1988
Calculus, Early TranscendentalsJames Stewart · 1991
CalculusBruce H. Edwards, Ron Larson · 1900
CalculusJames Stewart · 1986
Single Variable CalculusJames Stewart · 1987
Multivariable calculusJames Stewart · 1989
PrecalculusJ. S. Ratti · 2009
CalculusRobert T. Smith, Robert Thomas Smith · 1999
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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