Some results for a family of multivariable polynomials

Özmen, Nejla; Erkuş-Duman, Esra

doi:10.1063/1.4825705

Cited by 4 publications

(2 citation statements)

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“…This section presents several families of bilinear and bilateral generating functions for the modified generalized Sylvester polynomials f n (x; a, b) given by (1.1) without using Lie algebraic techniques but with the help of a similar method as considered in [4], [5], [6].…”

Section: Bilinear and Bilateral Generating Functionsmentioning

confidence: 99%

Bilateral and Bilinear generating functions for the Modified Generalized Sylvester polynomials

Özmen

2018

FU Math Inform

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The present study deals with some new properties for the Modified generalized Sylvester polynomials. The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous properties and also some special cases for these polynomials. In addition, we derive a theorem giving certain families of bilateral generating functions for the modified generalized Sylvester polynomials and the generalized Lauricella functions. Finally, we get several interesting results of this theorem.

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Section: Bilinear and Bilateral Generating Functionsmentioning

confidence: 99%

Bilateral and Bilinear generating functions for the Modified Generalized Sylvester polynomials

Özmen

2018

FU Math Inform

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“…In this report, one prominent misconception was that the sizes of atoms change during a phase transition. This is one of the many particulate-based difficulties that Özmen addressed in his work using computer animation to teach phase transitions to sixth grade students. He concluded that this type of intervention was effective at improving student understanding in both the short and long-term.…”

Section: Introductionmentioning

confidence: 99%

Roles of Terminology, Experience, and Energy Concepts in Student Conceptions of Freezing and Boiling

Jasien

2013

J. Chem. Educ.

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A discussion of some student conceptions of the solid–liquid and liquid–vapor phase transitions is presented. Data from open-ended, short-answer questions were collected from first-semester general chemistry students and then discussed in the context of previous studies. The responses gave insight into the various student conceptions about these phase changes. Student misunderstandings were most often related to (i) contextual difficulties with the terms freezing and boiling associated with their lack of experience with different substances, (ii) misinterpretation of physical and chemical phenomena, either from everyday experience or classroom demonstrations, and (iii) the inability to understand energy transfer processes. Specific implications for the teaching of topics related to freezing and boiling are also addressed.

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On Some Families of New Constructed Polynomials

Çiftçi

Erkuş-Duman

2019

Bull. Malays. Math. Sci. Soc.

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Some results for a family of multivariable polynomials

Cited by 4 publications

References 1 publication

Bilateral and Bilinear generating functions for the Modified Generalized Sylvester polynomials

Bilateral and Bilinear generating functions for the Modified Generalized Sylvester polynomials

Roles of Terminology, Experience, and Energy Concepts in Student Conceptions of Freezing and Boiling

On Some Families of New Constructed Polynomials

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