College Mathematics Journal, ISSN 0746-8342, 03/2018, Volume 49, Issue 2, pp. 109 - 113

Journal Article

The College Mathematics Journal, ISSN 0746-8342, 10/2019, Volume 50, Issue 5, pp. 375 - 377

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 01/2018, Volume 125, Issue 1, pp. 80 - 80

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 03/2020, Volume 127, Issue 3, pp. 249 - 256

We describe surfaces of revolution with the parallel equal zones property, where equally-spaced planes parallel to the axis of rotation cut the surface into...

MSC: Primary 51N20 | Secondary 26A06

MSC: Primary 51N20 | Secondary 26A06

Journal Article

The College Mathematics Journal, ISSN 0746-8342, 03/2018, Volume 49, Issue 2, pp. 126 - 135

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 11/2019, Volume 126, Issue 10, pp. 945 - 945

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 08/2018, Volume 125, Issue 7, pp. 648 - 649

We consider mildly smooth flat functions and improve upon the celebrated Denjoy-Carleman conditions that involve the function and its derivatives of all...

Primary 26A06 | Secondary 26D15 | MATHEMATICS

Primary 26A06 | Secondary 26D15 | MATHEMATICS

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 10/2019, Volume 126, Issue 9, pp. 845 - 849

In this note, we discuss the challenges that arise when teaching the intermediate value theorem and suggest responses to these challenges.

Secondary 97I20 | MSC: Primary 26A06 | MATHEMATICS | MSC

Secondary 97I20 | MSC: Primary 26A06 | MATHEMATICS | MSC

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 09/2019, Volume 126, Issue 8, pp. 754 - 754

Journal Article

Analysis Mathematica, ISSN 0133-3852, 12/2018, Volume 44, Issue 4, pp. 501 - 519

We consider the partial theta function $$\theta (q,z): = \sum\nolimits_{j = 0} \infty {{q {j(j + 1)/2}}{z j}} $$ θ ( q , z ) : = ∑ j = 0 ∞ q j ( j + 1 ) / 2 z...

partial theta function | 26A06 | Mathematics | spectrum | Analysis | separation in modulus | MATHEMATICS | ASYMPTOTIC EXPANSIONS

partial theta function | 26A06 | Mathematics | spectrum | Analysis | separation in modulus | MATHEMATICS | ASYMPTOTIC EXPANSIONS

Journal Article

Analysis, ISSN 0174-4747, 05/2018, Volume 38, Issue 2, pp. 63 - 79

A -integral is a definite integral of a function of having an expansion in non-negative powers of for ( -series). In his book on hypergeometric series, N. J....

30B10 | 26A06 | 11F20 | Dedekind eta function | 33D05 | q-integrals | q-series

30B10 | 26A06 | 11F20 | Dedekind eta function | 33D05 | q-integrals | q-series

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 1/2019, Volume 113, Issue 1, pp. 1 - 9

In the paper, the authors discuss the Bell polynomials and a sequence of polynomials applied to the theory of differential equations. Concretely speaking, the...

Faà di Bruno formula | 11C08 | Generating function | Secondary 11B73 | Differential equation | Theoretical, Mathematical and Computational Physics | 33B10 | Mathematics | Bell polynomial | Explicit formula | Primary 11B83 | Derivative | Mathematics, general | 26A06 | Applications of Mathematics | Identity | 26A09 | Stirling number | INEQUALITIES | Faa di Bruno formula | TERMS | DIAGONAL RECURRENCE RELATIONS | STIRLING NUMBERS | MATHEMATICS | 2ND KIND | Functions (mathematics) | Polynomials | Mathematical analysis | Combinatorial analysis | Differential equations | Identities

Faà di Bruno formula | 11C08 | Generating function | Secondary 11B73 | Differential equation | Theoretical, Mathematical and Computational Physics | 33B10 | Mathematics | Bell polynomial | Explicit formula | Primary 11B83 | Derivative | Mathematics, general | 26A06 | Applications of Mathematics | Identity | 26A09 | Stirling number | INEQUALITIES | Faa di Bruno formula | TERMS | DIAGONAL RECURRENCE RELATIONS | STIRLING NUMBERS | MATHEMATICS | 2ND KIND | Functions (mathematics) | Polynomials | Mathematical analysis | Combinatorial analysis | Differential equations | Identities

Journal Article

Journal of Number Theory, ISSN 0022-314X, 02/2016, Volume 159, pp. 89 - 100

In the paper, the authors find two closed forms involving the Stirling numbers of the second kind and in terms of a determinant of combinatorial numbers for...

Bernoulli number | Bernoulli polynomial | Stirling numbers of the second kind | Determinant | Closed form | FUNCTION (B(X)-A(X))/X | MATHEMATICS | INEQUALITIES | IDENTITIES | EXPLICIT FORMULAS | STIRLING NUMBERS

Bernoulli number | Bernoulli polynomial | Stirling numbers of the second kind | Determinant | Closed form | FUNCTION (B(X)-A(X))/X | MATHEMATICS | INEQUALITIES | IDENTITIES | EXPLICIT FORMULAS | STIRLING NUMBERS

Journal Article

Numerische Mathematik, ISSN 0029-599X, 11/2018, Volume 140, Issue 3, pp. 755 - 790

The Euler–Maclaurin (EM) summation formula is used in many theoretical studies and numerical calculations. It approximates the sum $${\sum \nolimits...

68Q17 (Secondary) | Theoretical, Mathematical and Computational Physics | 41A80 | Mathematics | 41A60 | 41A35 (Primary) | 41A55 | 65D30 | Mathematical Methods in Physics | 41A35 | 41A25 | 41A58 | Numerical Analysis | 65D10 | 65D32 | Mathematical and Computational Engineering | 41A10 | Mathematics, general | 26A06 | 26A36 | Numerical and Computational Physics, Simulation | 41A17 | MATHEMATICS, APPLIED | BERNOULLI NUMBERS

68Q17 (Secondary) | Theoretical, Mathematical and Computational Physics | 41A80 | Mathematics | 41A60 | 41A35 (Primary) | 41A55 | 65D30 | Mathematical Methods in Physics | 41A35 | 41A25 | 41A58 | Numerical Analysis | 65D10 | 65D32 | Mathematical and Computational Engineering | 41A10 | Mathematics, general | 26A06 | 26A36 | Numerical and Computational Physics, Simulation | 41A17 | MATHEMATICS, APPLIED | BERNOULLI NUMBERS

Journal Article

Advances in Calculus of Variations, ISSN 1864-8258, 01/2018, Volume 11, Issue 1, pp. 89 - 93

We illustrate a Bellman function technique in finding the modulus of uniform convexity of spaces.

52A20 | 28A10 | 52A40 | 42B35 | 42B20 | 26A06 | Bellman function | 47A30 | concave envelopes | Uniform convexity | MATHEMATICS | MATHEMATICS, APPLIED | Convexity

52A20 | 28A10 | 52A40 | 42B35 | 42B20 | 26A06 | Bellman function | 47A30 | concave envelopes | Uniform convexity | MATHEMATICS | MATHEMATICS, APPLIED | Convexity

Journal Article

Afrika Matematika, ISSN 1012-9405, 3/2019, Volume 30, Issue 1, pp. 297 - 309

The objective of this paper is to introduce and study some sequence spaces over the geometric complex numbers by means of Museilak–Orlicz function. We make an...

08A05 | Paranorm space | Geometric complex numbers | Mathematics | History of Mathematical Sciences | Orlicz functions | 46A35 | Mathematics, general | Mathematics Education | Non-Newtonian calculus | 26A06 | 40A05 | Applications of Mathematics

08A05 | Paranorm space | Geometric complex numbers | Mathematics | History of Mathematical Sciences | Orlicz functions | 46A35 | Mathematics, general | Mathematics Education | Non-Newtonian calculus | 26A06 | 40A05 | Applications of Mathematics

Journal Article

International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 11/2015, Volume 46, Issue 8, pp. 1259 - 1264

Let f be a real-valued function defined over a subset of . In the following article, we investigate the graph of f under rotation by a fixed angle about the...

differentiable functions | plane rotation | Secondary 26A24 | mean value theorem | Primary 26A06

differentiable functions | plane rotation | Secondary 26A24 | mean value theorem | Primary 26A06

Journal Article

Real Anal. Exchange, 2015, Volume 40, Issue no. 1, pp. 141 - 156

In 1966, Kiesswetter found an interesting example of continuous everywhere but differentiable nowhere functions using base-4 expansion of real numbers. In this...

26A27 | 26A06 | continuous functions | 26A15 | non-differentiable functions

26A27 | 26A06 | continuous functions | 26A15 | non-differentiable functions

Journal Article

Acta Universitatis Sapientiae, Mathematica, ISSN 1844-6094, 12/2017, Volume 9, Issue 2, pp. 348 - 359

In the paper, the authors derive an explicit formula for derivative polynomials of the tangent function, deduce an explicit formula for tangent numbers, pose...

open problem | 16A24 | explicit formula | tangent number | derivative polynomial | 26C99 | 33B10 | 26A06 | tangent function | 26A09 | 42A05 | Tangent function | Open problem | Tangent number | Derivative polynomial | Explicit formula

open problem | 16A24 | explicit formula | tangent number | derivative polynomial | 26C99 | 33B10 | 26A06 | tangent function | 26A09 | 42A05 | Tangent function | Open problem | Tangent number | Derivative polynomial | Explicit formula

Journal Article

Mediterranean Journal of Mathematics, ISSN 1660-5446, 11/2014, Volume 11, Issue 4, pp. 1081 - 1097

This article addresses the problem of maximizing the lateral displacement of a projectile that is launched from atop a tower and is subject only to gravity....

optimal launch angle | Projectile ballistics | Mathematics, general | Mathematics | Secondary 49K15 | enveloping parabola | Primary 26A06 | Enveloping parabola | Optimal launch angle | MATHEMATICS | MATHEMATICS, APPLIED

optimal launch angle | Projectile ballistics | Mathematics, general | Mathematics | Secondary 49K15 | enveloping parabola | Primary 26A06 | Enveloping parabola | Optimal launch angle | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

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